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Gabriella is flying a kite, holding her hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 36^{\circ}
∘
. If the string from the kite to her hand is 140 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

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Answer:

the answer is 86ft

Step-by-step explanation:

raphealnwobi

The height of the kite above the ground is 86 feet.

Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.

Let h represent the height of the kite. Hence, using trigonometric ratios:

sin(36) = h / 140

h = 82.28 feet

Kite height above ground = 3.75 + 82.28 = 86 feet

Therefore the height of the kite above the ground is 86 feet.

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