Answer: 64.16^{\circ} or 1.12 radians
Step-by-step explanation:
Given statement : A ladder that is 30 ft long needs to reach 27 ft up a building.
Since, building stands vertical on the ground , so ladder will make a riaght angle.
So, hypotenuse side = 30 ft.
the side apposite to the angles of the elevation =27 ft
Let x be the angle of elevation.
We know that in a right triangle :-
[tex]\sin x=\frac{\text{ side apposite to x}}{\text{hypotenuse}}\\\\\Rightarrow\sin x=\frac{27}{30}\\\Rightarrow\ \sin x=1.1197\text{radians }\\=1.1197\times\frac{180^{\circ}}{3.14}\\=64.158\approx64.16^{\circ}[/tex]
