Question

Find the horizontal distance from the foot of the ladder to the foot of the wall.

Answer 1

`\huge\boxed{\sf Base = 6.8 \ m}`

Explanation:

Using the trigonometric ratio of tan because:

• base is to be found.
• perpendicular is given.

Perpendicular = 3.71 m

θ = 21.8°

Base = ?

Using trigonometric ratio:

`\displaystyle tan \theta=(Perpendicular)/(Base) \\\\tan \ 21.8 = (2.71)/(Base) \\\\0.400 = (2.71)/(Base) \\\\Base = (2.71)/(0.4) \\\\Base = 6.8 \ m\\\\\rule[225]{225}{2}`