Question

Find the measure of the indicated angle to the nearest degree.

Answer 1

Explanation:

Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.

Let the unspecified angle be
`\theta\\` (This sign is called theta, which is just a sign for angle)

Lets start!

cos
`\theta\\` = adj/hyp

cos
`\theta\\` = 6/13

`\theta\\` =
`cos^(-1)`(6/13)

`\theta\\` = 62.5

`\theta\\` = 63

Hope that helped!