Question

A 4 metre long ladder is placed against a wall. The angle between the ladder and
the ground is 75°. How far up the wall does the ladder reach?
How do you do this?

Answer 1

Answer:3.86 m

Step-by-step explanation:

Given

Length of ladder L=4 m

angle made by ladder and the ground is $\theta=75^{\circ}$

we will use trigonometry here

from the figure, we can write

$\sin 75^{\circ}=\dfrac{x}{L}\quad [\text{where, x=distance of the ladder from the ground}]$

$\Rightarrow x=L\sin 75^{\circ}\\\Rightarrow x=4\sin 75^{\circ}=3.86\ m$