Question

Solve the question below 33

Answer 1

The value of x(perpendicular) is 17.80

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,

`sin\ 54 = (P)/(H)\\sin\ 54 = (x)/(22)\\0.8090 = (x)/(22)\\x = 0.8090*22\\x = 17.798`

Rounding off to nearest hundredth

x = 17.80

Hence,

The value of x(perpendicular) is 17.80