Given:

To verify:
for the given values.
Solution:
We have,

We need to verify
.
Taking left hand side, we get


Taking LCM, we get




Taking right hand side, we get



Taking LCM, we get


Now,

Hence proved.
We know, Sin Ф = P / H
Here, P = 18, H = x
So, Sin 34 = 18 / x
x = 18 / Sin 34
x = 18 / 0.559
x = 32.19
In short, Your Answer would be Option A
Hope this helps!
The answer is:
(-3 - 4√5)/6