Law of Sines/Cosines

[thankyougrass]

Hey all! My class is working on the laws of sines and cosines right now, and I got stuck on this one question. Can anybody help me out?

An observer on the ground found one hot air balloon to be 75 meters away at an angle of elevation of 42.6°. A second balloon was sighted 57 meters away at a 38.7° angle of elevation. Use this information to estimate the distance between the balloons to the nearest meter.

 

[tkhunny]

You'll have to decide of those measurements are along the ground (adjacent leg) or line-of-sight (hypotenuse).

 

[Harry_the_cat]

Have you drawn a diagram (triangle) and marked in the lengths and angles that you are given? That's the first step.