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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?

A239ft
B154ft
C67ft
D33ft

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 dist class=

Verified Answer :

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

boffeemadrid

Answer:

(B) 154ft

Step-by-step 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

\(\frac{x}{75}=tan64^{{\circ}}\)

⇒\(x=75{\times}tan64^{{\circ}}\)

⇒\(x=75{\times}2.050\)

⇒\(x=153.7\)

⇒x≈154ft

Therefore, the height of the building=154ft.