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 degrees with the building, and sees a bus stop. the function d=130 sec theta models the distance from the man to any object given his angle of sight theta. how far is the bus stop from the man in feet

1 answer

To find the distance from the man to the bus stop, we need to use the formula d = 130 sec(theta), where theta is the angle of sight.

Given that the angle of sight is 70 degrees, we can plug this value into the formula:

d = 130 sec(70)
d = 130 / cos(70)
d = 130 / 0.3420
d ≈ 380.116 feet

Therefore, the bus stop is approximately 380.116 feet away from the man on the balcony.