Question

Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a straight segment that is 100 feet long.
Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot

Answer 1

The distance between the ground and the kite to the nearest foot is 64 ft.

What is a right angle triangle?

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.

Hence,

The length of the kite string is the hypotenuse side of the triangle formed.

The height between the ground and the kite is the opposite side of the triangle formed.

Therefore, using trigonometric ratio,

sin 40 = opposite / hypotenuse

sin 40 = h / 100

cross multiply

h = 100 sin 40

h = 100 × 0.64278760968

h = 64.2787609687

h = 64 ft

Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.

learn more on right triangle here: brainly.com/question/27482803

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