Mathematics: Help! I REALLY NEED IT!

Help! I REALLY NEED IT! - id9151974, johnwatson12

Gyalissunout3526

10.11.2020

The length of the ladder is 15 feet.

Solution:

Let the length of the ladder be x.

Distance from ground to the top of the ladder = x – 3

Distance from the bottom of the ladder to the building = 9 feet

To find the length of the ladder:

Using Pythagoras theorem,

$\text{Base}^2+\text{Height}^2=\text{Hypotenuse}^2$

9^2+(x-3)^2=x^2

81+x^2-6x+9=x^2

x^2-6x+90=x^2

Subtract x^2 from both sides of the equation, we get

-6x+90=0

Subtract 90 from both sides of the equation.

–6x = –90

Divide by –6 on both sides of the equation.

x = 15

Hence the length of the ladder is 15 feet.

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