A kite flying in the air has a 12-ft line attached to it. Its line is pulled taut and casts an11 - ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
with sun directly overhead ... neglecting the height of the flyer
(height)^2 = 12^ - 11^2
To find the height of the kite, we need to use the concept of similar triangles. We can set up a proportion using the given information.
Let's assume that the height of the kite is "x" feet. We can set up the following proportion:
Height of kite / Length of shadow = Length of string / Length of shadow
x / 11 = 12 / 11
Now, cross-multiply and solve for x:
11x = 12
x = 12 / 11
Using a calculator, we can find the approximate value of x:
x ≈ 1.1
Therefore, the height of the kite is approximately 1.1 feet.