Answer:
Angle of elevation, [tex]\theta=46.88^{\circ}[/tex]
Step-by-step explanation:
We have,
Height of a wall, AB = 3.8 m
Length of the ladder, AC = 5.2 m
It is required to find the angle of elevation. According to the attached figure, it is clear that we can find angle of elevation using trigonometry. such that,
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{AB}{AC}\\\\\sin\theta=\dfrac{3.8}{5.2}\\\\\theta=\sin^{-1}(0.73)\\\\\theta=46.88^{\circ}[/tex]
So, the angle of elevation must be 46.88 degrees.
