A kite is flying 7 ft off the ground. Its line is pulled taut and casts a 6ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.

Answer 1

We can use similar triangles to solve this problem.

Let the height of the kite be x, the height of the kite off the ground 7 ft, and the length of the shadow be 6 ft.

Therefore, we have two similar triangles: one formed by the kite, the ground, and the shadow, and the other formed by the kite, the ground, and the line.

The ratios of the corresponding sides of these triangles are equal:

x/7 = 6/L

Solving for L:

L = 7*6/x
L = 42/x

Now we can substitute x = 7 into the equation:

L = 42/7
L = 6

Therefore, the length of the line is 6 ft.