Question

A kite is flying 20 ft off the ground. Its line is pulled taut and casts a 15 ft - shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.

Answer 1

The answer to your question is 25 ft

Explanation:

Data

height = 20 ft

leg = 15 ft

length of the line = ?

To solve this problem use the Pythagorean theorem.

Height = short leg = b

leg = long leg = a

length of the line = hypotenuse = c

- Substitution

c² = (20)² + (15)²

-Simplification

c² = 400 + 225

c² = 625

-Result

c =
`√(625)`

c = 25 ft