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The speed of the airplane, v is 144.2 m/s
The height, H of the roof above the head of the man is 66.4 m.
The speed of the airplane is determined using the Pythagoras theorem.
The speed of the airplane, v is calculated as follows:
v = √(80² + 120²0
v = 144.2 m/s
The height, H of the roof above the head of the man is calculated as follows:
tan 38° = H/85
H = tan 38° * 85 m
H = 66.4 m
In conclusion, the tangent ratio is used to find the height of the roof above the head of the man.
Learn more about Pythagoras theorem at: https://brainly.com/question/343682
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