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

Option (A)

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.

`(AB)/(DE)= (BC)/(EF)= (AC)/(DF)`

`(5.75)/(18)=(BC)/(12)`

BC =
`(12* 5.75)/(18)`

BC = 3.83 ft

Option (A) will be the correct option.