Question

Find the degree of the missing angle and round to the nearest whole degree

Answer 1

We are asked to determine the value of the angle. To do that we will use the function cosine, since this is defined as:

$\cos \theta=\frac{adjacent}{hypotenuse}$

Replacing the values:

$\cos \theta=\frac{12}{13}$

Now we use the inverse function of cosine to get the angle:

$\theta=\cos ^{-1}(\frac{12}{13})$

Solving the operation:

$\theta=22.62$

Therefore, the angle is 23 degrees approximately.