Answer:
the length of the opposite side (x), is 27.2
Step-by-step explanation:
For the given right triangle problem;
the opposite side of the given angle, opp. = 22
the hypothenuse side, hypo. = x
given angle of the triangle, θ = 54⁰
The length of the opposite side (x), is calculated as follows;
![sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%20%3D%20%5Cfrac%7Bopp.%7D%7Bhypo.%7D%20%5C%5C%5C%5Csin%20%2854%29%20%3D%20%5Cfrac%7B22%7D%7Bx%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B22%7D%7Bsin%2854%29%7D%20%5C%5C%5C%5Cx%20%3D%2027.2)
Therefore, the length of the opposite side (x), is 27.2