Question

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?

Answer 1

Answer:

Step-by-step explanation:

So the ladder, wall and ground make a right triangle with the right angle between the wall and the ground. Take the square root to find the height: h=√135ft2=(3√15) ft=11.62ft (to two decimal places). The 0.62ft multiplied by 12 inches per foot gives about 7 inches, thus the height is approximately 11ft7in

Answer 2

Answer:

11.6189

Step-by-step explanation:

Let PQ be the wall. Suppose, the ladder reached the wall up to height PB of the wall. Then, we have to find PB.

We have,

AB² = AP² + PB. (Pythagoras theorem)

i.e., (12)² = (3)² + PB²

= PB² = (12)² - (3)² = 144-9 = 135

= PB = √135 = 11.6189.

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