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Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on the swing set takes about the same amount of time, about 2.2 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place.

October 14, 2019// Blog//

Step 1

First situation

when a ladder is leaning against a wall

Let

x——-> the distance of the bottom of the ladder from the wall

L——-> the length of the ladder

Find the length of the ladder

Applying the Pythagorean Theorem

$L^{2} =x^{2}+ 9^{2}$ ——> equation $1$

Step 2

Second situation

when the ladder will be lying flat on the ground

Find the length of the ladder

In this situation the length of the ladder is equal to

$L=x+3$

square both sides

$L^{2}=(x+3)^{2}$ ——> equation $2$

Step 3

equate equation $1$ and equation $2$

$x^{2}+ 9^{2}=(x+3)^{2}\x^{2}+81=x^{2} +6x+9\ 6x=81-9\6x=72\x=12 ft$

therefore

the answer is

the length of the ladder is $12 ft$

see the attached figure to better understand the problem