Thread: Law of Sines Word Problems

Hi, I have a test tomorrow and my teacher gave me some practice problems to review. I've know how to use my law of sines but I guess what I'm really have trouble is drawing the correct pictures in order to use it correctly, which is why I believe I continually get these questions incorrect. Hopefully, you guys can help and Thanks in advance.

1.The angle of elevation to top of a building from a point on the ground 20degrees and the angle of elevation from a point to 25 feet farther away is 12degrees. Find the height of the building. [Solved]

2.From a point on the ground, the angle of elevation to the top of a 60-ft radio antenna sitting atop a hill is 39degrees. The angle of elevation to the top from the same point on the ground is 36 degrees. How high is the hill to the nearest foot? [Solved]

3.Two different height buildings are 10 feet apart. The angle of elevation from the top of the shorter building to the top of the taller building is 30 degrees. If the taller building is 500 feet
tall, how tall is the shorter building?