Question

A woman leaves home and walks 3 miles west, then 2 miles southwest. how far from home is she, and in what direction must she walk to head directly home?

Answer 1

She is 3 miles far from home and she must walk in north east direction to walk to home.

Answer 2

Answer:North-East

Step-by-step explanation:

First she walk 3 miles west and then 2 miles southwest

i.e. she is now Southwest direction with respect to initial position

she vertically 2miles below initial position

and horizontally 3+2cos45 away from initial position

$tan\theta =\frac{2}{3+2cos45}$

Where \theta is angle made by her with horizontal

$\theta =24.37$

she should walk at $\theta =24.37$ North of east to reach directly home