A kite flying in the air has an 11-ft line attached to it its line is pulled taut and casts a 9-ft shadow find the height of the kite If neccessary, round your answer to the nearest tenth

4 answers

The height of the kite is 7.5 feet.

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
A kite flying in the air has a 12 -ft line attached to it. Its line is pulled taut and casts a 9-ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
it's 6.3 ft