Exam 9: Geometry

Find the horizontal distance from a ship to the base of a 150-foot-tall lighthouse if the angle of depression to the ship from the top of the lighthouse is 24°. (Disregard the dimensions of the ship and round to the nearest foot)

Use the given right triangle to find sin A.

Classify the angle as acute, right, obtuse, or straight.

Find the area of the circle. Use

Classify the angle as acute, right, obtuse, or straight.

The screen of a computer monitor is measured by the length of the diagonal. If a screen is 16 inches long and 14 inches high, what is the measure of the diagonal? (Round your answer to the nearest hundredth.)

Find the distance around the inside lane of a track that has the dimensions shown below.

Use the Pythagorean theorem to find the length of the missing side of the right triangle. Then find the exact Values of sin A, cos A, and tan A, where A is the angle opposite the shortest side. Leg = 14 cm, leg = 48 cm

Find the area. Figure is not drawn to scale.

Find the value of .

Find the perimeter.

Find the area of the walkway (48 inches wide)that will be installed around a circular jacuzzi with a Diameter of 6 feet.

Find the surface area and volume of a sphere with radius 17 yards.

A motor oil manufacturer is designing a new cylindrical can for its economy size. They want it to be 23 cm tall so it fits store shelves, and they want it to hold 2 liters of oil. What should the radius be? (Recall that 1 cubic centimeter = 1 milliliter.)

Identify the quadrilateral.

In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 92 m and side C = 137 m. Round to the nearest degree.

The triangles in the figure below are similar. Use the proportional property of similar triangles to Find the measure of x.

Find the circumference and area of the circle if