Answer:
[tex]\theta=36.43^{\circ}[/tex]
Step-by-step explanation:
Given that,
Base = 42
Perpendicular height = 31
We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]
Put all the values,
[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]
So, the value of [tex]\theta=36.43^{\circ}[/tex].
