Question

a pole that is 3.5 m tall casts a shadow that is 1.77 m long. at the same time, a nearby building casts a shadow that is 41.25 m long. how tall is the building? round your answer to the nearest meter.

Explanation:

Step1: 建立比例关系

设建筑物高度为$h$，同一时刻物体高度与影长成正比，得$\frac{h}{41.25}=\frac{3.5}{1.77}$

Step2: 计算建筑物高度

$h=\frac{3.5\times41.25}{1.77}$
先算分子：$3.5\times41.25=144.375$
再算除法：$h=\frac{144.375}{1.77}\approx81.57$

Step3: 取整到最近米

对$81.57$四舍五入，得$82$

Answer:

82 m