Need Help With 2 Word Problems and Checking 2 Problems

The biggest bridge in the world is the bridge over the Royal Gorge of the Arkansas River in Colorado. Sightings to the same point at water level directly under the bridge are taken from each side of the 880-foot long bridge at angles of 69.2 degrees and 65.5 degrees. How high is the bridge?

So what I did was made one big triangle and split in up in half, where i have a right triangle but 2 triangle inside of 1. Will the adjacent be 90 degrees? I also, have the opposite angles at 69.2 on the 1st triangle and put 65.5 on the 2nd triangle. I tried to work it out from there but it didn't work. What would I have to do with the 880 foot? Split it?

Suppose we have an oblique triangle such that tan of alpha=1 and tan of beta=x. Find tan of gamma in terms of x.

I'm tottally lost on that problem. Thanks!

Need to check 2 problems!

Just want someone to check these two problems to see if I'm right or wrong, and if I'm wrong what can I do right.

1.According to Little League baseball offfical regulations, the diamond is a

square 60 feet on a side. The pitching rubber is located 46 feet from home plate

on a line joining home plate and second base. How far is it from the pitching

rubber to first base?

Will it be 38.5. I got that from the phatengom(sp) therom.

2.sin (4 theta)- sin (6 theta)=0 and the interval is from 0 to 2 pie.

Will the gerenral solution be? 10 pie/2

Thanks