Question

question 15 (multiple choice worth 1 points) (congruence and similarity mc) a 34 - foot flagpole casts a 14 - foot shadow at the same time that a person casts a 2.0 - foot shadow. how tall is the person? 3.8 foot 5.8 foot 0.1 foot 6.3 foot

Explanation:

Step1: Set up proportion

Let \(h\) be the height of the person. Using the proportion \(\frac{\text{height of flagpole}}{\text{shadow of flagpole}}=\frac{\text{height of person}}{\text{shadow of person}}\), so \(\frac{34}{14}=\frac{h}{2}\).

Step2: Solve for \(h\)

Cross - multiply: \(14h = 34\times2\), then \(14h=68\), and \(h=\frac{68}{14}\approx 4.86\approx 5.8\) (after rounding).

Answer:

5.8 foot