Question

As shown in the diagram below, a building casts a72-foot shadow on the ground when the angle ofelevation of the Sun is 40°.WEB 33140°-72 ftHow tall is the building, to the nearest foot?

Answer 1

Answer:

46foot

Explanation:

The wet up will give a right angles traingle as shown below;

According to the diagram;

Angle of elevation = 40 degrees

Length of the shadow = Hypotenuse = 72ft

H is the height of the building required

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 40 = H/72

H = 72sin40

H = 72(0.6428)

H = 46.28foot

Hence the height of the buidling to the nearest foot is 46foot