troubleshooting Question

Geometry of using a ladder?

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nickg5Flag for United States of America asked on
Math / Science
12 Comments3 Solutions580 ViewsLast Modified:
It's been a long time since I used geometry.

Extension ladder:
1. It is imperative that you understand that an extension ladder must extend 3 feet above the top landing.
3. The correct angle for an extension ladder should be ¼, meaning that for every 3-4 feet up, the ladder should be 1 foot out away from the base.
6. The sections of the extension ladder must overlap by at least 3 feet.

So, a 28 foot two piece extension ladder, would be about 7 feet from the base.
28 / 4 = 7.

A. What is the angle of the ladder in relation to perpendicular (straight up which would be 90 degrees)
B. If the two sections need to overlap 3 feet, and the top needs to be 3 feet above the landing, and the angle needs to be "x degrees from perpendicular," how high can this 28 foot ladder reach?

I tried to draw a diagram using Paint but failed.

So, 7 feet from bottom of ladder to the building.
Top of ladder 3 feet above the top edge of building.
What is the angle and what is the height able to be reached?
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