Question

Stones are thrown horizontally, with the same initial velocity, from the tops of two different buildings, A and B. The stone from building A lands 4 times as far from the base of the building as does the stone from building B. What is the ratio of building A's height to building B's height?

Answer 1

Answer: Our required ratio would be 4:1.

Explanation:

Since we have given that

Let the distance at which the stone lands from building B be 'x'.

Let the distance at which the stone lands from building A be '4x'.

So, we need to find the ratio of building A's height to building B's height.

As we know that

Ratio of distance at which stone lands from building B : Ratio of distance at which stone from building A = Ratio of height of building A to Ratio of height of building B.

So, Ratio of height of building A to Ratio of height of building B is given by

`4x:x\\\\=4:1`

Hence, our required ratio would be 4:1.