Question

Hello, so I'm doing review for a Pre-Calc final and am so crammed with info, that I think I'm over thinking this problem.

For the picture of the attachment below, I'm supposed to find x and y.

Any help/step by step would be so great

Answer 1

first add 47 and 90 and subtract from 180 to find angle z.

next you need to use sin cos and tan to evaluate the sides. if you can't use a calculator then probably just leave in reduced fractional form

Answer 2

@maddirm96 Okay, so angle z= 43 degrees.

Now do I use the interior angles to solve for sin, cos, and tan? or do I use 35, y, and x?

Answer 3

if you can't use your calculator, it is best to just leave your answer as:

x= cos z

y= tan z

otherwise you can't use exact values. what are the directions on your problem?

Answer 4

@maddirm96 ah! wait. I just understood what you were saying. For X I got 37.53 by going x=35*tan(47). for Y, I got 51.32. Do those seem right?

Answer 5

yes those should be right. since you know that cos and sin are on value of 1 from the unit circle, it is correct to multiply by 35!