Height at which the ladder rests against the wall is 9.18 cm to the nearest hundredth.
How the height of the school wall is calculated.
Given
The length of the ladder = 13.5 m
Angle between the ladder and the ground is 43⁰
To calculate the height, h
Let us use the sine ratio
sinθ = opposite/hypotenuse
θ = 43⁰
hypotenuse (length of ladder) = 13.5 m
Opposite to the angle 43⁰(height)
sin43 = h/13.5
h = 13.5 sin43
From the table
sin43 = 0.68
h = 13.5 * 0.68
= 9.18 cm
Therefore, height at which the ladder rests against the wall is 9.18 cm to the nearest hundredth.