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3 years ago

9

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 sta

tion 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?

1 answer:

olchik [2.2K]3 years ago

8 0

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

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