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.

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