Question

Help with law of cosines and sines. Find the value of x round your answer to the nearest tenth of a degree?

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Answer 1

@skullpatrol

Answer 2

You don't need the law of sines or law of cosines here.
You just need a sine or a cosine or a tangent.
Let's figure out together how we find x.

Answer 3

ok

Answer 4

This is the figure we have.

Answer 5

A right triangle, like any other triangle, has three sides.
In a right triangle, the three sides have names.
The sides that form the right angle are called legs.
The side opposite the right angle is the hypotenuse.

I've labeled them below.

Answer 6

In trigonometry (the study of sine, cosine, tangent, etc.) of right triangles, we need to distinguish between the two legs. We need names that will let us know which leg we mean. Also, trigonometry involves ratios that relate to angles.

Answer 7

Ok

Answer 8

In this problem, we know which angle we are concerned about since the goal of the problem is to find its measure. We want to know what x is.

Answer 9

Based on angle x, we name the two legs with different names so we don't confuse one leg with the other.