Question

Carmen walked 30 yards due north and 12 yards west, but then she went directly back to her starting point, as shown by the dotted line. How far (to the nearest yard) did Carmen travel to get back to where she started?

Answer 1

`0W = 32yd`

Explanation:

See attachment for complete question.

From the attachment, we have:

`0N = 30yd`

`NW = 12yd`

Required

Determine 0W

To solve this , we apply Pythagoras theorem as follows:

`0W^2 = 0N^2 + NW^2`

`0W^2 = 30^2 + 12^2`

`0W^2 = 900 + 144`

`0W^2 = 1044`

Take square roots

`0W = √(1044)`

`0W = 32.31`

`0W = 32yd` (approximated)

Hence, she walked 32 yards