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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.

http://nationalsafety.wordpress.com/2010/04/20/the-basics-of-extension-ladder-safety/

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?

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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?

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.

http://nationalsafety.wordpress.com/2010/04/20/the-basics-of-extension-ladder-safety/

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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>> an extension ladder must extend 3 feet above the top landing.

This is if you have to step off the top of the ladder on to a roof or landing.

The top of any ladder at 75.9 degrees is

length x sin( 75.9) or length * 0.97

Arctangent (1/4) = 14 degrees (top angle). The ground angle is (90-14) degrees = 76 degrees. Accurate to within about 0.04 degrees plus or minus.

|\

| \ the hypotnuse is sqrt of 17

| \ 4 vertical units

|____\ ground angle

1 horizontal unit

25^2 = x^2 + (x/4)^2 = x^2 + x^2/16 ==> multiplying both sides by 16

16*25^2 = 17*x^2

16*625 = 17*x^2

10000 = 17*x^2 ==> dividing both sides by 17

10000/17 = x^2

588.24 = x^2 ==> taking the square root of both sides

24.25 = x ==> the maximum height the ladder will reach

6.125 ==> is the distance the base of the ladder will be from the wall

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