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

Answer:

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$= 1.5 \times 120 = 180\ miles.$

Second shift $= 8.5\times 120 = 1020\ miles.$

These two shifts are at $90^{\circ}$ and therefore the final shift is:

$\to \sqrt{180^2+1020^2}=1035.76 \ miles$