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Solve the Equation for Solutions Over the Interval [0 [0,2π)[ 0,2 \pi )

Question 252

Multiple Choice

Solve the equation for solutions over the interval [0, [0,2π) [ 0,2 \pi ) ) . Write solutions as exact values or to four decimal places, as
appropriate.
-It can be shown that if the angle of elevation from an observer to the top of an object is A\mathrm { A } and the an: elevation dft\mathrm { d } \mathrm { ft } closer is B\mathrm { B } , then the distance from the object to the closest point of observation is given D=dcot⁡Bcot⁡A−cot⁡Bft\mathrm { D } = \frac { \mathrm { d } \cot \mathrm { B } } { \cot \mathrm { A } - \cot \mathrm { B } } \mathrm { ft } .
Find B\mathrm { B } if D=70ft,d=30ft\mathrm { D } = 70 \mathrm { ft } , \mathrm { d } = 30 \mathrm { ft } , and A=39∘\mathrm { A } = 39 ^ { \circ } . Give your answer in degrees to the nearest hundredth.


A) 39.00∘39.00 ^ { \circ }
B) 49.16∘49.16 ^ { \circ }
C) 19.14∘19.14 ^ { \circ }
D) 69.67∘69.67 ^ { \circ } ngle of451)

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