Question

A 15 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the side of the house. Find , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answer 1

Answer:
`66.42^(\circ)`

Explanation:

Given

Length of the ladder is
`L=15\ ft`

Bottom of the ladder is
`6\ ft` away from the side of the house.

Suppose, ladder is leaning against the wall with angle of elevation
`\theta`

from the figure, we can write

`\Rightarrow \cos \theta=(6)/(15)\\\\\Rightarrow \cos \theta=(2)/(5)\\\\\Rightarrow \theta=66.42^(\circ)`

Thus, the angle of elevation is
`66.42^(\circ)`