A kite flying in the air has an 11 - ft line attached to it. Its line is pulled taut and casts an 8 - ft shadow. Find the height
of the kite. If necessary, round your answer to the nearest tenth.
2 answers:
Answer:
The height of the kite is 7.5 feet.
Step-by-step explanation:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
x = 7.54
x = 7.5
Therefore, the height of the kite is 7.5 feet.
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