Aladder 35 feet in length rests against a vertical wall. the foot of the ladder is 10 feet from the wall. what angle, θ, does the ladder make with the ground?

which of the following equations can be used to solve the problem?

cosθ = 10/35
sinθ = 10/35
tanθ = 10/35

The equation that can be used to solve the problem is: cos θ  =

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  =

cos θ = 0.28571

To find the value of  θ, we will need to take the of both-side

cos θ = 0.28571

               θ=73.4°

Therefore, the angle the ladder make with the wall is θ=73.4°