Question

A building of 25 meters casts a shadow 15 meters long on the ground. What will be the length of the shadow cast by a building 40 meters tall?

• A. 20 meters
• B. 24 meters
• C. 26 meters
• D. 30 meters

Hint:

To find the length of a shadow, use the proportion between the height of the object and the length of the shadow.

Answer 1

The Correct Option is B

Step 1: Understanding the relationship between height and shadow.
The length of the shadow of a building is directly proportional to its height. This can be calculated by setting up a ratio based on the given data.
Step 2: Calculation.
\[ \frac{25}{15} = \frac{40}{x} \] Cross multiplying gives: \[ 25x = 40 \times 15 \] \[ 25x = 600 \] \[ x = \frac{600}{25} = 24 \, \text{meters}. \]
Step 3: Conclusion.
Thus, the correct answer is (B) 24 meters.