The students in Mr. Collin’s class used a surveyor’s 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? (1 point)
A. 105 ft
B. 116 ft
C. 32 ft
D. 54 ft
To find the height of the building, we can use the tangent function since we have the angle and the distance from the building.
tan(angle) = height/distance
tan(32) = height/65
height = tan(32) * 65
height ≈ 35.54 ft
Rounded to the nearest foot, the height of the building is approximately 36 ft.
Therefore, the closest option is C. 32 ft.