Answer:
The equation that can be used to solve the problem is: cos θ = [tex]\frac{10}{35}[/tex]
and the angle the ladder make with the wall is θ=73.4°
Step-by-step explanation:
To solve the problem, we are going to use the trigonometric formula;
SOH CAH TOA
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
From the diagram below, hypotenuse is given to be equal to 35 feet, adjacent is given to be equal 10 feet, to find angle θ, the best formula to use is;
cos θ= adjacent / hypotenuse
where hypotenuse=35 feet and adjacent = 10 feet
We can now proceed to insert our values into the formula;
cos θ = [tex]\frac{10}{35}[/tex]
cos θ = 0.28571
To find the value of θ, we will need to take the [tex]cos^{-1}[/tex] of both-side
[tex]cos^{-1}[/tex]cos θ = [tex]cos^{-1}[/tex]0.28571
θ=73.4°
Therefore, the angle the ladder make with the wall is θ=73.4°
