Question

A pole that is 3.5m tall casts a shadow that is 1.76m long. At the same time, a nearby building casts a shadow that is 46.75m long. How tall is the building? Round your answer to the nearest meter.

Answer 1

so assuming that the ratios are the same

height to shadow=h:s=3.5:1.75

also
h:46.75

these mus be equal

3.5:1.75=h:46.75
fractionify
3.5/1.75=h/46.75
multiply both sides by 46.75
163.625/1.75=h
divide
93.5=h
rounded to 94

the actual height=94m high