Question

from the top of the 100-fttall Altgelt Hall a man observes a car moving toward the building. If the angle of depression of the car changes from 22 degrees to 46 degrees during the period of observation, how far does the car travel?

Answer 1

Let x1 be distance of car from building when θ = 22 deg

tan 22 = 100 / x1 and x1 = 248 ft

Likewise

tan 46 = 100 / x2

x2 = 97 ft

D = 248 - 97 = 151 ft distance traveled by car