Question

answer each question and round your answer to th

1. a statue that is 12 m tall casts a shadow that

is 16 m long. find the length of the shadow
that a 15 m lighthouse casts.
\\( \frac{12}{16}=\frac{15}{x} \\) \\( x = 20 \\)

Explanation:

Step1: Set up proportion

Since the ratio of height to shadow - length is the same for both the statue and the lighthouse, we set up the proportion $\frac{12}{16}=\frac{15}{x}$, where $x$ is the length of the lighthouse's shadow.

Step2: Cross - multiply

Cross - multiplying gives us $12x = 15\times16$.

Step3: Calculate the right - hand side

$15\times16=240$, so $12x = 240$.

Step4: Solve for $x$

Dividing both sides of the equation $12x = 240$ by 12, we get $x=\frac{240}{12}=20$.

Answer:

20 m