Question

A plane flies 1.4 hours at 150 mph on a bearing of 10. It then turns and flies hours at the same speed on a bearing of . How far is the plane from its starting​ point?

Answer 1

The answer is "1035.76 miles"

Explanation:

The aircraft flies at 120 mph for 1.5 hours at a
`10^(\circ)` bearing, then flies at the very same speed at
`100^(\circ)` bearings for 8.5 hours.

However an angle of
`100-10 = 90^(\circ)` between displacements

First shifts
`= 1.5 * 120 = 180\ miles.`

Second shift
`= 8.5* 120 = 1020\ miles.`

These two shifts are at
`90^(\circ)` and therefore the final shift is:

`\to √(180^2+1020^2)=1035.76 \ miles`