I have this problem that I've already figured out, but I just need someone to check if it is right or not. I need to know if the picture I drew is correct as well.

Here's the problem and drawing:

The first thing I used was the Pythagorean Theorem to get length c and I got 161.6.

Then, I found the angle of elevation by finding the cosine the angle in red and got 51.8°.

Is this correct?