Posted by **Alianne** on Saturday, February 25, 2012 at 4:03am.

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as

0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire

at 64°. How far from tower A is the fire to the nearest tenth of a mile?

- Trigonometry (Law of Sine) -
**Reiny**, Saturday, February 25, 2012 at 9:19am
Your wording of the question is confusing, but I think I see a triangel FAB, where AB = 10

angle A = 42° and angle B = 64°

then angle F = 180-64-42 = 74°

FA/sin64 = 10/sin74

FA = 10sin64/sin74 = appr 9.4 miles

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