Question

a child who is 1 m tall child is facing a flag pole 14.5 m away. the child can see the reflection of the top of the flag pole in a rain puddle that is 0.5 m in front of them. what is the approximate height of the flag pole in meters?

Answer 1

Answer: 29 m

Explanation:

x/height of child = shadow of flagpole/shadow of child

x/1 = 14.5/0.5 = 29 m

Answer 2

this is a problem using angle of elevations shown in the picture attached. In this case, we can use the case of similar triangles to calculate the height of the pole. From the diagram, we can get the angle between the child's periphery to the reflection, then we can use the law of cosines, pythagorean theorem to get the answer.