Question

A submarine travels 8.6 km due North from its base and then turns and travels due West for 11.4 km. How far away is the submarine from its base? Give your answer rounded to 1 DP.

Answer 1

The submarine is 14.28 kilometers away from its base.

Explanation:

Given that a submarine travels 8.6 km due North from its base and then turns and travels due West for 11.4 km, to determine how far away is the submarine from its base the following calculation must be performed, applying the Pythagorean Theorem:

8.6 ^ 2 + 11.4 ^ 2 = X ^ 2

73.96 + 129.96 = X ^ 2

√203.92 = X

14.28 = X

Therefore, the submarine is 14.28 kilometers away from its base.