Question

A pole that is 3.4 m tall casts a shadow that is 1.61 m long. At the same time, a nearby building casts a shadow that is 36.75 m long. How tall is the building?

Round your answer to the nearest meter.

Answer 1

Explanation:

Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:

`(pole/building)/(shadow):(3.4)/(1.61)=(x)/(36.75)` and cross multiply to solve:

1.61x = 124.95 so

x = 78 m