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

question 89

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . 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 $\mathrm { d } \mathrm { ft }$ closer is $\mathrm { B }$ , then the height of the object is given by $\mathrm { h } = \frac { \mathrm { d } } { \cot \mathrm { A } - \cot \mathrm { B } } \mathrm { ft }$ .
Find $\mathrm { A }$ if $\mathrm { h } = 40 \mathrm { ft } , \mathrm { d } = 30 \mathrm { ft }$ , and $\mathrm { B } = 39 ^ { \circ }$ . Give your answer in degrees to the nearest hundredth.

• A) \(26.74 ^ { \circ }\)
• B) \(32.20 ^ { \circ }\)
• C) \(20.70 ^ { \circ }\)
• D) \(37.08 ^ { \circ }\) ngle of450)

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