Solve the problem.
-A contractor needs to know the height of a building to estimate the cost of a job. From a point 99 feet away from the base of the building, the angle of elevation to the top of the building is found to be $42 ^ { \circ } 59 ^ { \prime }$. Find the height of the building. Round your answer to the hundredths place when necessary.
A) $90.74 \mathrm { ft }$
B) $95.17 \mathrm { ft }$
C) $92.27 \mathrm { ft }$
D) $96.5 \mathrm { ft }$

Question

Quizplus · Accepted Answer

To find the height of the building, use the tangent of the angle of elevation: $\tan(42^\circ 59') = \frac{\text{height}}{99}$. Solving for height gives: height = $99 \times \tan(42^\circ 59') \approx 92.27 \, \text{ft}$.

Solve the Problem 42∘59′42 ^ { \circ } 59 ^ { \prime }42∘59′

Solve the Problem $42 ^ { \circ } 59 ^ { \prime }$