Categories

# [Smart Math] Geometry Problem 14

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

A certain pole casts a shadow 24 feet long. At the same time another 3 feet high casts a shadow 4 feet long. How high is the first pole given that the heights and shadows are in proportion?

1. 18 feet
2. 19 feet
3. 20 feet
4. 21 feet
5. 22 feet

The Usual Method

Let the height of the pole whose shadow is 24 feet long be ‘x’ feet high.

Since both the length of the poles and its shadow are in proportion, than:

$\frac{x}{24}=\frac{3}{4}$

$\therefore x=\frac{3\times 24}{4}=$ 18 feet

(Ans: 1)

Estimated Time to arrive at the answer = 30 seconds.

Using Technique