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

Question 460

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 and the an; elevation dft\mathrm { d } \mathrm { ft } closer is B\mathrm { B } , then the height of the object is given by h=dcotAcotBft\mathrm { h } = \frac { \mathrm { d } } { \cot \mathrm { A } - \cot \mathrm { B } } \mathrm { ft } .
Find A\mathrm { A } if h=40ft,d=30ft\mathrm { h } = 40 \mathrm { ft } , \mathrm { d } = 30 \mathrm { ft } , and B=39\mathrm { B } = 39 ^ { \circ } . Give your answer in degrees to the nearest hundredth.


A) 26.7426.74 ^ { \circ }
B) 32.2032.20 ^ { \circ }
C) 20.7020.70 ^ { \circ }
D) 37.0837.08 ^ { \circ } ngle of450)

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