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?

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.

Plugging in the given lengths.

Multiplying both sides by 18.

Thus, length of the building = 30 meters

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130