Question

The students in Mr.Collins class used a surveyors measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance.

To the nearest foot, what is the height of the building?
A. 239ft
B. 154ft
C. 67ft
D. 33ft

Answer 1

I believe the correct answer would be B. 154 ft.

Answer 2

(B) 154ft

Explanation:

Given:The students in Mr.Collins class used a surveyors measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building.

Let the height of the building be equal to x, then using the trigonometry, we get

`(x)/(75)=tan64^{{\circ}}`

⇒
`x=75{*}tan64^{{\circ}}`

⇒
`x=75{*}2.050`

⇒
`x=153.7`

⇒x≈154ft

Therefore, the height of the building=154ft.