SOLUTION: an airplane is flying at an altitude of 5800 ft, directly above a stright highway. two cars on the highway are on the same side of the airplane. the angles of depression to one car

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Question 703162: an airplane is flying at an altitude of 5800 ft, directly above a stright highway. two cars on the highway are on the same side of the airplane. the angles of depression to one car is 44 and to the other car is 52 dgree. how far apart are the car?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let me draw plane P, and cars A, and B.

angle HPB = 44%5Eo --> angle FPB = 90%5Eo-44%5Eo=46%5Eo
FB = 5800ft%2Atan%2846%5Eo%29=6006.1ft (rounding)
angle HPA = 52%5Eo --> angle FPB = 90%5Eo-52%5Eo=38%5Eo
FA = 5800ft%2Atan%2838%5Eo%29=4531.5ft (rounding)
AB = FB - FA = 6006.1ft+-4531.5ft=1474.6ft
The cars are about 1475ft apart.