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) Responses 150 ft 150 ft 32 ft 32 ft 105 ft 105 ft 160 ft 160 ft
To find the height of the building, we can use the tangent function:
tan(angle) = height/distance
tan(32 degrees) = height/105 ft
height = 105 ft * tan(32 degrees)
height ≈ 60.63 ft
Therefore, the height of the building to the nearest foot is 61 ft.