Answer:
56.07 degrees
Step-by-step explanation:
This is a classic problem involving right triangle trig. We are looking for the angle that has a side opposite it with a measure of 55 m and a side adjacent to it with a measure of 37 m. This is the tangent ratio of the missing angle. Our equation then looks like this:
[tex]tan\theta=\frac{55}{37}[/tex]
To find a missing angle on your calculator in degree mode, hit 2nd then tan and you'll see "tan^-1( " on your display. After the open parenthesis, enter your fraction and hit the enter button to get the angle measure. 56.07°
