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.

The kite is 64.278 feet away from the ground.

Step-by-step explanation:

Step 1; The kite string measures 100 feet while it has an angle of elevation which equals 40°. So a right-angled triangle can be formed using these measurements. The angle of the triangle is 40° while the hypotenuse of the triangle measures 100 feet. We need to find the opposite side's length of the triangle.

Step 2; Since we have the hypotenuse side's length and need to calculate the opposite side's length, we use the sine of the given angle. Assume the opposite side of the triangle is x feet long.

sin 40° =   = , x = sin 40° × x,

sin 40° = 0.64278, so x = 0.64278 × 100 = 64.278.

So the kite is 64.278 feet away from the ground.

michael scott & dwight schrute

step-by-step explanation:

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