Question

A ladder is placed against a tree. The bottom is located 5 feet from the base of the tree and the top of the ladder is 18 feet up the tree. What is the angle created between the ladder and tree? Include a sketch that shows all known information and clearly shows what you need to find. Show all work and give the answer rounded to the nearest tenth of a degree.

Answer 1

The angle created between the ladder and tree is
`15.5^(0)`.

Explanation:

The required sketch is shown in the attachment to this answer.

Applying the appropriate trigonometric function to the question, we have;

Tan θ =
`(Opposite side)/(Adjacent side)`

=
`(5)/(18)`

= 0.2777777777

⇒ θ =
`Tan^(-1)` 0.2777777777

= 15.5241

=
`15.5^(0)`

Therefore, the angle created between the ladder and tree is
`15.5^(0)`.