Question

Un camión mide 4.5 metros de alto y proyecta una sombra que termina a 11.2 metros de distancia. ¿Cuánto

mide la línea que forma la sombra del camión en el piso?

Answer 1

The line that forms the shadow is 10.26 meters long, approximately.

Explanation:

This problem is about a right triangle, becasue the truck and its shadow are perpendicular.

We are gonna call
`x` the distance of the shadow on the ground, as the image attached shows.

To find the answer, we need to use Pythagorean's Theorem, where the hypothenuse is 11.2 meters, and one leg is 4.5 meters.

`(11.2)^(2) =x^(2) +(4.5)^(2) \\x^(2) =125.44-20.25\\x=√(105.19) \approx 10.26`

Therefore, the line that forms the shadow is 10.26 meters long, approximately.