The value of x is 61.51 Option D.
Step-by-step explanation:
Given,
Base = 30
An acute angle (θ) = 64°
To find the perpendicular (x)
Formula
tanθ = [tex]\frac{Perpendicular}{Base}[/tex]
So,
tan 64° = [tex]\frac{x}{30}[/tex]
or, x = 30×tan 64° = 61.509 = 61.51 (approx)
