A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37 m . Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answer 1

Using similar triangles, we can set up the proportion $\frac{x}{33}=\frac{y}{37}$ where $x$ is the length of the shadow and $y$ is the distance from the top of the building to the tip of the shadow. Cross-multiplying gives $37x=33y$. Dividing both sides by $37$ gives $x=\frac{33}{37}(37)=\boxed{33}$.