Question

A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow. Find the length of the line. If necessary, round your answer to the nearesttenthx

Answer 1

`\text{? = 10 ft}`

here, we want to get the side that faces the right angle

The side is called the hypotenuse

To find this length, we are going to use the Pythagoras' theorem

The square of this side is equal to the sum of the squares of the two other sides

Thus, we have;

`\begin{gathered} \text{?}^2=8^2+6^2 \\ \text{?}^2\text{ = 64 + 36} \\ \text{?}^2\text{ = 100} \\ \text{? = }\sqrt[]{100} \\ \text{? = 10 ft} \end{gathered}`