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 θ models the distance from 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. (1 point)
Responses
44 ft
122 ft
138 ft
380 ft

Answer 1

To find the distance from the man to the bus stop, we can use the given function d = 130 sec θ.

Using the formula, we get:

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. So, the answer is:
380 ft