Question

Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25

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. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answer 1

66.9 ft

Explanation:

Kite string forms a right triangle with the horizontal 3.5 feet off of the ground

sin 25 = opp / hyp = height / 150

sin 25 = height / 150

150 sin25 = height but it is 3.5 feet off of the ground...add that in

3.5 + 150 sin25 = true height = ~ 66.9 ft