Respuesta :

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.

What is the speed of the airplane?

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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