Question

How would you sketch out this question?? Jamie has a 15-foot aluminum ladder. She wants to place the ladder against the side of her house so she can change the light bulb in her solar-powered security lights that are 14 feet up the side of the house.

Answer 1

Answer:
`\theta =68.96^(\circ)`

Explanation:

Given

length of ladder
`L=15\ ft`

Height of light from floor
`h=14\ ft`

so Jamie should inclined the ladder at an angle of \theta with the floor

such that
`\sin \theta =(h)/(l)`

`\Rightarrow \theta =\sin ^(-1)(h)/(l)`

`\Rightarrow \theta =\sin ^(-1)((14)/(15))`

`\Rightarrow \theta =68.96^(\circ)`