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 1136007: 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.)
You can put this solution on YOUR website! 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
:
Find the distance he flies in 90 sec: 90 * 4 = 360 ft
Draw this out as a triangle
A = 39 degrees
B = 33 degrees
C: 180 - 39 - 33 = 108 degrees
side opposite C = 360 ft
Find the side opposite angle A; side a
Use the law of sines =
cross multiply
sin(108)*a = sin(39)*360
a =
using your calc
a ~ 238 ft from his final position to his friend on the ground
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