im.g.4.9.3.Leaning Ladders (15)
Drag the ruler to move. Drag the red point to rotate.[br]Use the slider to adjust the length.
A good rule of thumb for a safe angle to use when leaning a ladder is the angle formed by your body when you stand on the ground and hold your arms out parallel to the ground.[br]
Write down possible mathematical questions that could be asked about this situation.[br]
What is the slope ratio?
What are the angles in the triangle formed by your body and the ladder?
What is the angle formed by the ladder, the ground and the railing? Explain your reasoning.
You have a 13 foot long ladder and need to climb to a 12 foot tall roof.[br][br]a) If you put the top of the ladder at the top of the wall, what angle is formed between the ladder and the ground?
b) This is not a safe angle. Is it possible to adjust the ladder to a safe angle? If so, give someone instructions on how to do so. If not, explain why not.
Attribution
illustrative mathematics. geometry. unit 4. lesson 9. activity 3. Leaning Ladders[br][br][url=https://im.kendallhunt.com/HS/teachers/2/4/9/index.html][/url][u]https://im.kendallhunt.com/HS/teachers/2/4/9/index.html[br][br][/u]Licensed under the Creative Commons Attribution 4.0 license, [url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url]