Oasis B is a distance D = 9 km east of oasis A, along the x axis shown in the Figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 22 km west of due south by angle θ1 = 15.0°. It then walks a distance W2 = 33 km due north. If it is to then walk directly to B, (a) how far (in km) and (b) in what direction should it walk (relative to the positive direction of the x axis)?
Pythagorean theorem and trig.
The Attempt at a Solution
I drew a picture that depicted the camel's path. I ended up with two right triangles. I used the angle and side that I had to try and find out the length of the two sides.
W1 * sin 15
Then i subtracted whatever I got to get the remainder of W2.
W2 - (W1 * sin 15).
I also did W1 * cos 15 to find the remaining side. Then I added 9 to fill out the upper right triangle. Then I did pythagorean theorem to find out the answer for a.
I'm confused as to what angle to find for part B.
For a, I got 40.74 km and it was wrong. I redid the problem and got 49.679 and it was wrong.
For b, I got 47.93 degrees and it was wrong. Then I got 56.665 and it was wrong.
Am I doing the problem wrong?