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Answer:

θ = 35.39°

Step-by-step explanation:

Given that,

Perpendicular, P = 27

Base, B = 38

We need to find the value of angle. Let the angle be θ. So,

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]

So, the required angle is 35.39°.

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