The staircase connects points A and B. The height of each step is 28 cm, and the length is 96 cm.

univerkov | May 1, 2021 | education

The staircase connects points A and B. The height of each step is 28 cm, and the length is 96 cm. The distance between points A and B is 15m. Find the height the ladder climbs to.

To begin with, using the Pythagorean theorem, we calculate the length of the hypotenuse.

1) 28 ^ 2 + 96 ^ 2 = √ * (784 + 9216) = √ 10000 = 100 (centimeters) = 1 (meter) – the length of the hypotenuse.

Next, we calculate the number of steps on the stairs.

2) 15: 1 = 15 (steps) – in total located on the stairs.

Now we can answer the main question of the problem. What is the height of the stairs.

3) 28 * 15 = 420 (centimeters) = 4.2 (meters) – the total height of the stairs.

Answer: the height to which the ladder rises is 4.2 meters.

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