An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 46°. The engineer knows the building is 250 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

Accepted Solution

Answer:=241 ftStep-by-step explanation:The building is opposite the angle of elevation. Thus using trigonometric ratios it is easier to use Tangent of the elevation angle to find the distance to the foot of the building (adjacent).Tan ∅ = opposite/ adjacentTan ∅= height of the building/ distance between the engineer and the buildingdistance= height/tan ∅=250/tan 46°=241 ft           =