Question

What is the measure of angle C?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
15 points given?!?!
its the only one I'm stuck on :-(

Answer 1

The measure of angle C is 90 degrees.

To find the measure of angle C in triangle ABC, you can use the Law of Cosines. The Law of Cosines states:

`C^2 = A^2 + B^2 - 2ab. cos(C)`

In this formula:

c is the length of the side opposite angle C (in this case, AC),a and b are the lengths of the other two sides (in this case, AB and BC

cos(C) is the cosine of angle C.

Given that AB = 22, BC = 120, and AC = 122, you can substitute these values into the formula

⁡
`122^2 = 22^2 + 120^2 -2.22 .120. cos(C)`

Now, solve for cos(C):

14884=484+14400−5280⋅cos(C)

14884=14884−5280⋅cos(C)

0=−5280⋅cos(C)

This implies that

cos(C)=0.

Now, find the angle C by taking the arccosine of 0:

`C=cos^(-1) (0)`

The cosine of 90 degrees is 0, so angle C is 90 degrees.

Therefore, the measure of angle C is 90 degrees.

Answer 2

You must use trig for this. If you are using a calculator make use it is first set in degrees!! To find C, you can use cosine, which is adjacent over hypotenuse.
You must use inverse cosine since the sides are given, not the angles.
cos∧-1(120/122)
You have inverse cosine which is cosine negative one and multiply it by adjacent over hypotenuse sides.
The answer is 10.3888 degrees.