Answer:
The value of x(perpendicular) is 17.80
Step-by-step explanation:
Given triangle is a right angled triangle as one of the angles is 90°
Also according to the reference angle 54°,
Hypotenuse = H = 22
Perpendicular = P = x
We can use the trigonometric ratio of sine as it involves both known value perpendicular and hypotenuse.
So,
[tex]sin\ 54 = \frac{P}{H}\\sin\ 54 = \frac{x}{22}\\0.8090 = \frac{x}{22}\\x = 0.8090*22\\x = 17.798[/tex]
Rounding off to nearest hundredth
x = 17.80
Hence,
The value of x(perpendicular) is 17.80
