a kite flying in the air has a 12 ft line attached to it , it’s line is pulled taut and casts a 10 ft shadow find the length of the kite round to the nearest tenth
To find the length of the kite, we can use similar triangles. Let's assume the length of the kite is x.
We have a right triangle, with the length of the line as the hypotenuse, the length of the shadow as one side, and the length of the kite as the other side.
By the properties of similar triangles, we can set up the following equation:
shadow/line = kite/x
Plugging in the given values, we get:
10/12 = x/kite
Now we can cross-multiply:
10 * kite = 12 * x
Divide both sides by 12:
kite = (10 * 12) / x
Simplifying further:
kite = 120 / x
Rounding to the nearest tenth:
kite ≈ 120 / x
Therefore, the length of the kite is approximately 120 divided by its distance from the person flying the kite.