Question

At a certain time of day, a pole, 5 meters tall, casts a 3-meter tall shadow. The shadow of a building next to the pole is 18 meters long. How tall is the building?

Answer 1

Answer:

Length of the building = 30 meters

Step-by-step explanation:

Given:

Length of pole = 5 meters

Length of shadow of pole = 3 meters

Length of shadow of the building = 18 meters

To find length of the building.

Solution:

On drawing the figure of the given situation, we get two similar triangles.

Applying proportionality theorem of similar triangles.

$\frac{AB}{BC}=\frac{DE}{EC}$

Plugging in the given lengths.

$\frac{AB}{18}=\frac{5}{3}$

Multiplying both sides by 18.

$\frac{AB}{18}\times 18=\frac{5}{3}\times 18$

$AB=\frac{90}{3}$

$AB=30$

Thus, length of the building = 30 meters