A park ranger at point A sights a redwood tree at point B at an angle of 23 degree from a fire tower at point C. From the fire tower, the angle between the ranger and the tree is 123 degree. If the ranger at point A is 2.3 limes from the fire tower at point C, how far is it from the ranger to the redwood tree at point B.

i really need help!

Question

A park ranger at point A sights a redwood tree at point B at an angle of 23 degree from a fire tower at point C. From the fire tower, the angle between the ranger and the tree is 123 degree. If the ranger at point A is 2.3 limes from the fire tower at point C, how far is it from the ranger to the redwood tree at point B.

i really need help!

anonymous · Answer

Draw it first, it should make sense then.

anonymous · Answer

Try the law of sines.

anonymous · Answer

a/sin2.3=b/sin23 what do i do now?

anonymous · Answer

$a$, $b$, and $c$ correspond to the side lengths, so plug in what you know, and solve for what you don't.  You may also need to use the fact that the interior angles of a triangle add up to $180^\circ$.

anonymous · Answer

thanks!