Question

Jeriel leans a 26 foot ladder against a wall so that it forms an angle of 61 with the ground .

Answer 1

To solve this problem we will use the following diagram:

where d is the distance between the base of the ladder and the wall.

Using the cosine we get:

`\cos 61^(\circ)=(d)/(26ft).`

Multiplying the above equation by 26ft we get:

`\begin{gathered} \cos 61^(\circ)*26ft=(d)/(26ft)*26ft\text{.} \\ d=26ft\cdot\cos 61^(\circ)\text{.} \end{gathered}`

Then:

`d\approx12.60505013ft\approx12.61ft.`

Answer: 12.61.