High School

An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation (exact and decimal) from the runway when it is 5000 feet from the runway?

Answer :

The airplane's angle of elevation from the runway is approximately 17.36 degrees, and the distance between the plane and the ground is 4772.79 ft.

Here are the main answers to the question:

First, we will find the distance between the plane and the ground:5000² = 25000000+ 1500² = 2250000d² = 22750000d = 4772.79 ft.

To find the angle of elevation, we will use the tangent ratio:tan A = opposite/hypotenuse = 1500/4772.79A = tan⁻¹(1500/4772.79)A = 17.36°.

The airplane's angle of elevation from the runway is approximately 17.36 degrees.

In conclusion, the airplane's angle of elevation from the runway is approximately 17.36 degrees, and the distance between the plane and the ground is 4772.79 ft.

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