Question

The students in Mr.Collins class used a surveyors measuring devices to find the angle from their location to the top of a building. The also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, find the height of the building. A.36ft B.137ft C.32ft D.154ft

Answer 1

Given:

The angle from the location of surveyors is 63 degrees and the distance to the bottom of the building is 70 ft.

To find:

The height of the building

Solution:

We can solve the question, using the trigonometric function tangent.

From the figure, the tangent of the angle is:

`\begin{gathered} \tan 63=(x)/(70) \\ 1.96=(x)/(70) \\ x=70*1.96 \\ x=137.2 \end{gathered}`

Thus, the height of the building is approximately 137 ft.

Thus. option B is correct.