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:$\theta =68.96^{\circ}$

Step-by-step 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 $\sin \theta =\frac{h}{l}$

$\Rightarrow \theta =\sin ^{-1}\frac{h}{l}$

$\Rightarrow \theta =\sin ^{-1}(\frac{14}{15})$

$\Rightarrow \theta =68.96^{\circ}$