Question

Two ranger stations are on an east-west line 110 mi apart. A forest fire is located on a bearing of N 42º E from the western station at A and a bearing of N 15ºE from the eastern station at B. How far is the fire from the western station to the nearest mile?

Answer 1

Answer:

Explanation:

AB = 110 miles

Let the distance of the western station from fire is d.

As according to the diagram, use Sine law

$\frac{d}{Sin 15}=\frac{110}{Sin 133}$

d = 110 x 0.2588 / 0.73

d = 39 miles