Answer:
176.6
Explanation:
You can use sine, cosine, or tangent to find x (the trick is determining which to use).
Looking at the 63° angle, its adjacent side is GH, which has a length of 90. The opposite side of the 63° angle is side FG, which has a length of x. You're going to need a ratio that will give you the opposite side knowing the adjacent.
You can use the... acronym?... SOH-CAH-TOA.
SOH - When using sine (S), you get the ratio of the opposite (O) side to the hypotenuse (H).
CAH - When using cosine (C), you get the ratio of the adjacent (A) side to the hypotenuse (H).
TOA - When using tangent (T), you get the ratio of the opposite (O) side to the adjacent (A) side.
Since we're not using the hypotenuse at all, we need to use tangent, which is the ratio of opposite to adjacent. You can set up the equation:
tan(63°) = x/90
Type this into your calculator (make sure it's in degrees and not radians!) and you get:
1.9626 * 90 = x
x = 176.6