Question

A ship traveled 11 miles due north, then made a turn due east. It traveled 8 miles east. How far is the ship from its starting point?

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Answer 1

I assume you mean a 90* turn.

If we have 3 sides of a right triangle, they are related to eachother by the Pythagorean theorem.

`A^(2) +B^(2) =C^(2)`

Replace with known values of A and B

`11^(2) +8^(2) = C^(2)`

Simplify and solve for C

11^2 = 121

8^2 = 64

121 + 64 = C^2

`√(185) =C`

The ship is approximately 13.6 miles from its starting point

Hope this helps

:D

- Jeron