Question

3. Eric is flying an airplane at an altitude of 2200 feet. He sees his house on 1 point

the ground at a 45-degree angle of depression. What is Eric's horizontal
distance from his house at this point?
2200 ft
A. 110 feet
B. 220 feet
C. 1100 feet
D. 2200 feet

Answer 1

D 2200 feet

Explanation:

Let d = the horizontal distance

tan 45 = 2200/d

dtan 45 = 2200

d = 2200/tan 45

d = 2200 ft.

Another solution is to recognize that the triangle is a 45-45-90 triangle and that the legs are congruent in the triangle. So, the horizontal leg is the same as the vertical leg = 2200