SOLUTION: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a mark

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Question 1135787: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 39°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 33°. At that time, what is the distance between him and his friend? (Round to the nearest foot.)

= ft
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
Distance balloon traveled, 4%2A1.5%2A60=360, feet.

The measure of angle at the ground, 180-39-33=108, degrees.

Triangle:
39 degrees, 33 degrees, 108 degrees
Side opposite the 108 degrees is 360 feet.

Distance asked for is d,
d%2Fsin%2839%29=360%2Fsin%28108%29

d=360%28sin%2839%29%2Fsin%28108%29%29