Question

question 1 (multiple choice worth 5 points) (congruence and similarity mc) a tower casts a shadow that is 25 meters long. a person who is 1.4 meters tall casts a 3.2 - meter shadow. which of the following is closest to the height of the tower? 10.9 meters 42 meters 57.1 meters 109 meters

Explanation:

Step1: Set up proportion

Let \(h\) be the height of the tower. Using the proportion \(\frac{\text{height of object}}{\text{length of shadow}}\), we have \(\frac{h}{25}=\frac{1.4}{3.2}\).

Step2: Solve for \(h\)

Cross - multiply: \(3.2h = 1.4\times25\). Then \(3.2h=35\). So \(h=\frac{35}{3.2}\approx10.9\) meters.

Answer:

10.9 meters