A kite flying in the air has a 12-ft line attached to it. Its line is pulled taut and casts a 10-ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth
We can set up a proportion to solve this problem. Let x be the height of the kite. The height of the kite to the length of the line is the same as the length of the shadow to the length of the line.
Therefore, we have the proportion:
x/12 = 10/12
Cross-multiplying we get:
12x = 10
Dividing both sides by 12 we find:
x = 10/12 = 5/6 ≈ 0.83
Therefore, the height of the kite is approximately 0.83 feet when rounded to the nearest tenth.