To find the angle x, you are given the triangle side lengths that are opposite and adjacent to the angle. The opposite side is 49 units long. The adjacent side is 24 units long. The trigonometric function that corresponds to the opposite and adjacent legs is tangent.
to find x: [tex]tanx=\frac{49}{24}[/tex]
to find an angle using a trigonometric function we must use the inverse function.
[tex]arctan(\frac{49}{24} )=63.90457584[/tex]
The angle x, to the nearest tenth of a degree is 63.9 degrees.
