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Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 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.

Sagot :

The height of the kite from the ground is 63 foot.

How to find the side of a right angle triangle?

The situation will form a right angle triangle.

A right angle triangle has one of its angles as 90 degrees.

Therefore, the sides and the angles can be found using trigonometric ratios.

Hence, the distance between the ground and the kite can be found as follows;

sin 44° = opposite / hypotenuse

Therefore,

sin 44° = x / 90

cross multiply

x = 90 sin 44°

x = 90 × 0.69465837045

x = 62.5192533413

x = 63 foot

Therefore, the height of the kite from the ground is 63 foot.

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