Question

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka's shadow. Include all labels.

Answer 1

8 meters

Explanation:

This is a question that deals with Proportion

Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke

Length of the shadow of Luke = x

= 12/24 = 4/x

We cross Multiply

12 × x = 24 × 4

x = 24 × 4/12

x = 8 meters

Hence, the length of the shadow of Luke = 8 meters