Answer:
The vertical height, h = 34.64 feets
Step-by-step explanation:
Given that,
Length of the ladder, l = 40 ft
The ladder makes an angle of 60 degrees with the ground, [tex]\theta=60^{\circ}[/tex]
We need to find the vertical height of of which the ladder will reach. Let it iss equal to h. Using trigonometric equation,
[tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex]
Here, perpendicular is h and hypotenuse is l. So,
[tex]sin(60)=\dfrac{h}{40}[/tex]
[tex]h=sin(60)\times 40[/tex]
h = 34.64 feets
So, the vertical height of which the ladder will reach is 34.64 feets. Hence, this is the required solution.
