What is the value of x to the nearest degree?

Step-by-step explanation:

This is right triangle trig.  The side opposite the x is 8, and the side adjacent to the x is 5.  The tangent ratio uses those sides.  We need to find what angle has a tangent of 8/5.  To do this, make sure your calculator is in degree mode.  Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis.  Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946.  Rounded to the nearest degree this is 58 degrees.  That's your answer!

b

Step-by-step explanation:

We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the cotangent [or tangent] ratio, however, since we are solving for an angle measure, we must use the inverse:

Extended Information on Trigonometric Ratios

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