21. You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36 deg with the ground. How high is the kite in the air? * O 32.4 ft 23.5 ft 29.1 ft

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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21. You go to the park on a windy day to fly a kite. You have released 40 feet of
string. The string makes an angle of 36 deg with the ground. How high is the kite
in the air? *
O 32.4 ft
23.5 ft
29.1 ft
nddor ic rocting against the side of a building. The bottom of the
Transcribed Image Text:37 1 Add file 21. You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36 deg with the ground. How high is the kite in the air? * O 32.4 ft 23.5 ft 29.1 ft nddor ic rocting against the side of a building. The bottom of the
Expert Solution
Step 1

According to given data in right angle triangle length of string is equal to hypotenuse of triangle, height of kite is equal to altitude of triangle and angleθ is 36

We know that in a right angle triangle

sinθ=altitudehypotenuse                                                    ..1

Here, θ=36, altitude=h, hypotenuse=40feet

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