01-09-2026, 01:38 PM
1. Determine the Proportion Because the sunlight hits both poles at the same angle, the height of an object and the length of its shadow are directly proportional. We can set up the following equation:
Shadow of Pole A
Height of Pole A
=
Shadow of Pole B
Height of Pole B
2. Calculate the Scale Factor Using Pole A, we find the ratio of height to shadow:
1.2
2.4
=2
This means the height of any object in this scenario is exactly 2 times the length of its shadow.
3. Solve for Pole B Multiply the length of Pole B's shadow by the scale factor:
Height=2.8×2
Height=5.6
Final Answer: The height of Pole B is 5.6 metres.
Shadow of Pole A
Height of Pole A
=
Shadow of Pole B
Height of Pole B
2. Calculate the Scale Factor Using Pole A, we find the ratio of height to shadow:
1.2
2.4
=2
This means the height of any object in this scenario is exactly 2 times the length of its shadow.
3. Solve for Pole B Multiply the length of Pole B's shadow by the scale factor:
Height=2.8×2
Height=5.6
Final Answer: The height of Pole B is 5.6 metres.
