Question

A kite is flying 12 ft off the ground. Its line is pulled taut and casts a 5-ft shadow. Find the length of the line. If necessary, round your answer to the nearetenth

Answer 1

Given:

A kite is flying 12 ft off the ground. Its line is pulled taut and casts a 5-ft shadow.

We will find the length of the line

The length of the line represents the hypotenuse of a right-angle triangle

The legs of the triangle are: 5 ft and 12 ft

Using the Pythagorean theorem

So, the length =

`\sqrt[]{5^2+12^2}=\sqrt[]{25+144}=\sqrt[]{169}=13ft`

So, the answer will be:

The length of the line = 13 ft