Question

How far is the sailboat from the lighthouse to the nearest kilometer? Round your answer to the nearest 10th. Distance from the table to the house = km?

Answer 1

The distance x, in kilometers, we need to find is the hypotenuse of the right triangle with legs measuring 50 km and 130 km.

Thus, we can use the Pythagorean Theorem to find x, in kilometers:

`\begin{gathered} x^(2)=50^(2)+130^(2) \\ \\ x^(2)=2500+16900 \\ \\ x^(2)=19400 \\ \\ \sqrt[]{x^(2)}=\sqrt[]{19400} \\ \\ x\cong139.3 \end{gathered}`

Therefore, the distance from the table to the house is approximately 139.3 km.