Exam 13: Right Triangle Trigonometry

A conveyor is used to lift paper to a shredder. The most efficient operating angle of elevation for the conveyor is 35.9°. The paper is to be elevated 11.0 m. What length of conveyor is needed? Round your answer to the appropriate number of significant digits. length of conveyor = __________ meters

(Short Answer)

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Question 101

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}$

(Multiple Choice)

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Question 102

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. b = 4.398 m, c = 5.821 m

(Multiple Choice)

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Question 103

Find the value of the trigonometric ratio rounded to four significant digits. sin 65.8 ^o

(Multiple Choice)

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Question 104

Find the value of the trigonometric ratio rounded to four significant digits. cos 53.1° = __________

(Short Answer)

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Question 105

Solve the right triangle. Round your answer to the appropriate number of significant digits.

(Multiple Choice)

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Question 106

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 23.0 mi, l = 40.0 mi Side m is __________ mi.

(Short Answer)

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Question 107

Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. $c = 36.6 \mathrm { mi } , \angle B = 68.9 ^ { \circ }$ $Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. c = 36.6 \mathrm { mi } , \angle B = 68.9 ^ { \circ } a = mi b = mi$ a = mi b = mi

(Short Answer)

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Question 108

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }$

(Multiple Choice)

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Question 109

Machinists often use a coordinate system to drill holes by placing the origin at the most convenient location. A bolt circle is the circle formed by completing an arc through the centers of the bolt holes in a piece of metal. Find the coordinates of the centers of points A, D, and G for the equally spaced $\frac { 1 } { 3 }$ -in. holes on a bolt circle of radius 7.00 in., as shown in the illustration. Round your answer to the nearest tenth. $Machinists often use a coordinate system to drill holes by placing the origin at the most convenient location. A bolt circle is the circle formed by completing an arc through the centers of the bolt holes in a piece of metal. Find the coordinates of the centers of points A, D, and G for the equally spaced \frac { 1 } { 3 } -in. holes on a bolt circle of radius 7.00 in., as shown in the illustration. Round your answer to the nearest tenth.$

(Multiple Choice)

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Question 110

Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits. $a = 13.1 \mathrm {~cm} , b = 13.1 \mathrm {~cm}$ $Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits. a = 13.1 \mathrm {~cm} , b = 13.1 \mathrm {~cm} c = cm ∠A = ° ∠ B = °$ c = cm ∠A = ° ∠ B = °

(Short Answer)

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Question 111

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$

(Multiple Choice)

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Question 112

Find the angle rounded to the nearest tenth of a degree. cos A = 0.7376 A = __________ ^o

(Short Answer)

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Question 113

Find the angle rounded to the nearest tenth of a degree. tan B = 0.8081

(Multiple Choice)

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Question 114

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. $a = 36.4$ mm, $b = 63.0$ mm, $c = 72.8$ mm A = ° B = °

(Short Answer)

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Question 115

Find the value of the trigonometric ratio rounded to four significant digits. tan 80.55 ^o

(Multiple Choice)

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Question 116

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. d = 48,500 m, e = 40,100 m The unknown side f is _____ m.

(Multiple Choice)

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Question 117

Find the value of the trigonometric ratio rounded to four significant digits. cos 51.7 ^o

(Multiple Choice)

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Question 118

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $c = 36.1 \mathrm { mi } , \angle B = 68.7 ^ { \circ }$ $Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. c = 36.1 \mathrm { mi } , \angle B = 68.7 ^ { \circ }$

(Multiple Choice)

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Question 119

Find the unknown sides of the right triangle. Round your answer to the appropriate number of significant digits. $a = 36.3 \mathrm {~m} , \angle A = 42.5 ^ { \circ }$ $Find the unknown sides of the right triangle. Round your answer to the appropriate number of significant digits. a = 36.3 \mathrm {~m} , \angle A = 42.5 ^ { \circ }$

(Multiple Choice)

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Question 120

Showing 101 - 120 of 132

A conveyor is used to lift paper to a shredder. The most efficient operating angle of elevation for the conveyor is 35.9°. The paper is to be elevated 11.0 m. What length of conveyor is needed? Round your answer to the appropriate number of significant digits. length of conveyor = __________ meters

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}$

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. b = 4.398 m, c = 5.821 m

Find the value of the trigonometric ratio rounded to four significant digits. sin 65.8 ^o

Find the value of the trigonometric ratio rounded to four significant digits. cos 53.1° = __________

Solve the right triangle. Round your answer to the appropriate number of significant digits.

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 23.0 mi, l = 40.0 mi Side m is __________ mi.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$

Find the angle rounded to the nearest tenth of a degree. cos A = 0.7376 A = __________ ^o

Find the angle rounded to the nearest tenth of a degree. tan B = 0.8081

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. $a = 36.4$ mm, $b = 63.0$ mm, $c = 72.8$ mm A = ° B = °

Find the value of the trigonometric ratio rounded to four significant digits. tan 80.55 ^o

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. d = 48,500 m, e = 40,100 m The unknown side f is _____ m.

Find the value of the trigonometric ratio rounded to four significant digits. cos 51.7 ^o

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Trigonometry With Any Angle

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Exam 13: Right Triangle Trigonometry

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠A=54.2∘,a=76.0 mm\angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}∠A=54.2∘,a=76.0 mm

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. b = 4.398 m, c = 5.821 m

Find the value of the trigonometric ratio rounded to four significant digits. sin 65.8 o

Find the value of the trigonometric ratio rounded to four significant digits. cos 53.1° = __________

Solve the right triangle. Round your answer to the appropriate number of significant digits.

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 23.0 mi, l = 40.0 mi Side m is __________ mi.

Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. c=36.6mi,∠B=68.9∘c = 36.6 \mathrm { mi } , \angle B = 68.9 ^ { \circ }c=36.6mi,∠B=68.9∘ a = __________ mi b = __________ mi

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠B=9.54∘,a=1,612ft\angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }∠B=9.54∘,a=1,612ft

Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits. a=13.1 cm,b=13.1 cma = 13.1 \mathrm {~cm} , b = 13.1 \mathrm {~cm}a=13.1 cm,b=13.1 cm c = __________ cm ∠A = __________ ° ∠ B = __________ °

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠B=76.45∘,c=92.95 km\angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}∠B=76.45∘,c=92.95 km

Find the angle rounded to the nearest tenth of a degree. cos A = 0.7376 A = __________ o

Find the angle rounded to the nearest tenth of a degree. tan B = 0.8081

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. a=36.4a = 36.4a=36.4 mm, b=63.0b = 63.0b=63.0 mm, c=72.8c = 72.8c=72.8 mm A = __________° B = __________°

Find the value of the trigonometric ratio rounded to four significant digits. tan 80.55 o

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. d = 48,500 m, e = 40,100 m The unknown side f is _____ m.

Find the value of the trigonometric ratio rounded to four significant digits. cos 51.7 o

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. c=36.1mi,∠B=68.7∘c = 36.1 \mathrm { mi } , \angle B = 68.7 ^ { \circ }c=36.1mi,∠B=68.7∘

Find the unknown sides of the right triangle. Round your answer to the appropriate number of significant digits. a=36.3 m,∠A=42.5∘a = 36.3 \mathrm {~m} , \angle A = 42.5 ^ { \circ }a=36.3 m,∠A=42.5∘

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle A = 54.2 ^ { \circ } , a = 76.0 \mathrm {~mm}$

Find the value of the trigonometric ratio rounded to four significant digits. sin 65.8 ^o

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 9.54 ^ { \circ } , a = 1,612 \mathrm { ft }$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$

Find the angle rounded to the nearest tenth of a degree. cos A = 0.7376 A = __________ ^o

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. $a = 36.4$ mm, $b = 63.0$ mm, $c = 72.8$ mm A = ° B = °

Find the value of the trigonometric ratio rounded to four significant digits. tan 80.55 ^o

Find the value of the trigonometric ratio rounded to four significant digits. cos 51.7 ^o