The distance the plane traveled from point A to point B will be 19202 feet.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Mamadou spots an airplane on the radar that is currently approaching in a straight line, and that will fly directly overhead.
The plane maintains a constant altitude of 7325 feet.
Mamadou initially measures an angle of elevation of 15° to the plane at point A.
At some later time, he measures an angle of elevation of 42° to the plane at point B.
Then the distance the plane traveled from point A to point B will be
AB = CD
AB = EC - ED
The value of EC will be
tan 15° = 7325 / EC
EC = 27337.3 feet
Similarly, the value of DE will be
tan 42° = 7325 / DE
DE = 8135.2 feet
Then the distance the plane traveled from point A to point B will be
AB = 27337.3 - 8135.2
AB = 19202.1 feet
AB ≅ 19202 feet
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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