The wall is 17.0 ft from the point ladder touches the wall
Explanation:The length of the ladder = 18 ft
The angle the ladder makes with the wall = 71°
We need to find the distance betwen the base of the wall and the point the ladder touches the wall.
To solve this, we will do an illustration of the scenario:
Let x = distance between the base of the wall and the point the ladder touches the wall
To get x, we will apply sine ratio (SOH):
[tex]\begin{gathered} si\text{ n }71\degree\text{ = }\frac{opposite}{hypotenuse} \\ \text{opposite = x, hypotenuse = }18 \\ \\ \sin \text{ }71\degree=\text{ }\frac{x}{18} \end{gathered}[/tex][tex]\begin{gathered} x\text{ = 18(}\sin 71\degree) \\ x\text{ = 18(}0.9455) \\ x\text{ = 17.019} \\ To\text{ the nearest tenth, x = 17.0} \end{gathered}[/tex]The wall is 17.0 ft from the point ladder touches the wall
