Question

A man stands on his balcony, 130 feet above the ground. He looks at the ground, with his sight line forming an angle of
70° with the building, and sees a bus stop. The function d = 130 sec e models the distance from the man to any object
given his angle of sight 0. How far is the bus stop from the man? Round your answer to the nearest foot.

(1 point)

44 ft

122 ft

138 ft

380 ft

Answer 1

The correct answer is 380 ft.

Given that the angle of sight from the man to the ground is 70°, the distance from the man to any object (bus stop in this case) can be calculated using the formula d = 130 sec e.

d = 130 sec 70°
d = 130 / cos 70°
d ≈ 130 / 0.3420
d ≈ 380 ft

Therefore, the bus stop is approximately 380 feet away from the man.