Question

A 12 meter tall building has a ladder leaning against it. The bottom of the ladder is situated 5 meter from the building. How long is the ladder?

Answer 1

Answer:

The ladder is 13 meter long.

Step-by-step explanation:

Given:

Height of the building is 12 meter and the distance of the ladder from the bottom of the building is 5 meter.

Now, to find how long is the ladder, we use pythagoras theorem:

Let the height of the ladder (hypotenuse) be $x$, height of the building (leg1) = 12 meter and distance of ladder from the bottom of the building (Leg2) = 5 meter.

Using pythagoras theorem:

$(leg 1)^{2} +(leg 2)^{2} = hypotenuse^{2}$

$12^{2} +5^{2} =x^{2}$

$144+25=x^{2}$

$169=x^{2}$

Using square root both the sides:

$13=x$

Height of the ladder = 13 meter.

Therefore, the ladder is 13 meter long.