Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista

Question

1 year ago

5

nce between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary

1 answer:

defon · Answer 1 · 2023-03-14T09:35:02+03:00

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet