79.4k views
3 votes
Terry uses a ladder that is 12 feet tall. To be safe the ladder must make an angle of elevation of between 70-85 degrees to be safe. If he places the ladder 3 feet from the wall, is it safe?

User Killstreet
by
7.9k points

1 Answer

7 votes

Answer:

It is safe

Explanation:

Using trigonometry :

Cosθ = adjacent / hypotenus

Hypotenus = length of ladder = 12 feets

Adjacent = distance between ladder and wall = 3 feets

Cosθ = 3 /12

Cosθ = 0.25

θ = cos^-1(0.25)

θ = 75.522°

To be safe ladder must be between (70 - 85)°

Sijce ladder is at an elevation of 75.22° ; then it is safe.

User Stannius
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories