At a given time and place, the height of an object varies directly as the length of its shadow. If a flagpole 6 meters high casts a shadow 10 meters long, find the height of a building that casts a shadow 45 meters long.

Height of the building that cast a shadow of 45 meters is 27 meters

Step-by-step explanation:

This is a direct variation and let height of the object represent H and shadow represent S

Hence H∝S

H = KS, where K=constant of proportionality

K = H/S

K = 6/10 = 0.6

Hence height of a building that cast a shadow of 45 meters

H = KS

H = 0.6 * 45 = 27 meters