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
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.