Question

A 2 m surfer is standing 12 m away from the lifeguard station. He wants to go to the Burger Shack for lunch. The Burger Shack is 14 m tall. How far away is it from the lifeguard station?

Answer 1

72 meters

Explanation:

If we take into account the relationship between the data of the problem, we have a relationship between heights and distances.

Between the height would be between the surfer and burger shack, and the known distance of 12 between the surfer and the lifeguard station.

we have the following relationship

2/14 = 12 / x

x = 14 * 12/2

x = 84

but this would be the distance between the surfer and burger shack, the distance we need would be:

84 - 12 = 72

it means that between burger shack and the lifeguard station there are 72 meters