Answer:
4√3 feet
Step-by-step explanation:
Here, a ladder is resting against a house makes a 60° with the ground,
Consider x be the distance of the top of ladder from the foot of house and y be the distance of bottom of ladder from the house. ( shown in the below diagram )
Using trigonometric ratio,
[tex]\sin 60^{\circ}=\frac{\text{Distance of top of ladder from the bottom of house}}{\text{Length of ladder}}[/tex]
We have, length of ladder = 8 ft,
[tex]\sin 60^{\circ}=\frac{x}{8}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{x}{8}[/tex]
[tex]8\sqrt{3} = 2x[/tex]
[tex]4\sqrt{3}=x[/tex]
Hence, the house would reach 4√3 feet up.
