Question

An 18-foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram. You are 5.75 feet tall and cast a shadow as shown. How long is the shadow you cast given the triangles shown are similar?
A. 3.83

B. 8.63

C. 11

Answer 1

Answer:

Option (A)

Step-by-step explanation:

From the picture attached,

ΔABC and ΔDEF are the similar triangles.

Therefore, by the property of similar triangles, their corresponding sides will be proportional.

$\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}$

$\frac{5.75}{18}=\frac{BC}{12}$

BC = $\frac{12\times 5.75}{18}$

BC = 3.83 ft

Option (A) will be the correct option.