Question

Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 16.5 ft above the ground. For Safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? show your work

Answer 1

Hello!

The answer is no, he will not be safe. I had a similar problem on a test and got the answer correct. The only difference was they used slightly different numbers, so I am pretty sure this is correct. I hope this helps!

Explanation:

Okay, so you are looking for x.

sin x=
`(16.5)/(17)`

x=
`sin^(-1)`(
`(16.5)/(17)`)

x≈76.07

76.07>70

Answer 2

No, it is not safe