Question

find the height of a flagpole as shown in the figure below, if it casts a shadow of 14 ft at the same time that the shadow of a 6 - ft person is 2 ft. ft

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratio of height to shadow length is the same. Let \( h \) be the height of the flagpole. The proportion is \(\frac{h}{14}=\frac{6}{2}\).

Step2: Solve the proportion

Cross - multiply: \( 2h = 6\times14 \). Then \( 2h=84 \). Divide both sides by 2: \( h=\frac{84}{2} \).

Answer:

42