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Rina8888 [55]
3 years ago
12

A child is flying a kite. If the string is pulled tight to its full length of 40 feet and is held at an angle of 71 degrees abov

e the ground, how high is the kite? Round your answer to the nearest whole foot.
Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

38feet high

Step-by-step explanation:

Given the following

Length of the string = 40feet (hypotenuse)

Angle of elevation = 71 degrees

Required

Height of the kite (opposite)

Using the SOH CAH TOA identity

Sin theta = opp/hyp

Sin 71 = H/40

H = 40sin 71

H = 40(0.9455)

H = 37.82

Hence the kite is 38feet high (to the nearest whole number)

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