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.

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Answer:

64 feet

Step-by-step explanation:

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The distance between the ground and the kite is 65 feet.

To find the distance between the ground and the kite.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given that:

The angle of elevation formed by the kite string and the ground is 40°.

The kite string forms a straight segment that is 100 feet long.

By the formula of height and distance,

sin40°=x/100

x=100*sin40°

x=100*0.6427

x=64.27 feet

X≈65 feet.

So, the distance between the ground and the kite is 65 feet.

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