The approximate angle will be made by the stairway with the ground is 46.24°.
As we are been given that, the length of the stairway from the ground is 18 feet, under the right angle triangle, that will be the length of the hypotenuse. Next, since the elevation of the top of the stairway from, the ground is 13 feet, which is considered to be the length of the perpendicular of the assumed right angled triangle.
Now, we are asked to find the angle x,
Since, we know that
sin θ = perpendicular/ hypotenuse
So, substituting the required values the desired angle we get is :
sin θ = 13/18
sin θ = 0.7222
θ = sin ⁻¹ (0.7222)
= 46.2364
x = 46.24
the angle θ or x is 46. 24°.
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