Question

A man stands on his balcony, 120 ft above the ground. He looks at the ground, with his sight line forming an angle of 50 degrees with the building, and sees a bus stop. The function d = 120 sec θ models the distance form the man to any object given his angle of sight θ. How far is the bus stop from the man? Round your answer to the nearest foot.

A. 187 ft.
B. 92 ft.
C. 77 ft.
D. 157 ft.

Answer 1

sec(θ) = 1/cos(θ)
so the given formula gives:
distance = 120/cos(θ).
You can use your calculator to find the distance and make your choice accordingly.

Answer 2

I really love those types of answers ^^^ 🙃

Answer 3

(120)cos(50°)
77 ft
hope this helps : )

Answer 4

^^ these answers are better