A13 foot ladder is leaning against a wall. if the point where the ladder meets the wall is 12 feet above the ground, how far from the base of the wall is the ladder

The distance of  the base of the wall to the ladder is 5 Feet .

Step-by-step explanation:

As given

A 13 foot ladder is leaning against a wall.

If the point where the ladder meets the wall is 12 feet above the ground.

As shown in the figure given below.

Now by using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

AB² = AC² + BC²

As

AB = 13 foot

AC = 12 foot

Put in the above

13² = 12² + BC²

169 = 144 + BC²

BC² = 169 - 144

BC = 5 Feet

Therefore the distance of  the base of the wall to the ladder is 5 Feet .

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

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