NCERT · Class 10 · Mathematics · TrianglesA vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
Step-by-Step Solution
At the same time of day, the sun's rays make equal angles, forming similar right triangles between the objects and their shadows. Height of pole / Shadow of pole = Height of tower / Shadow of tower. 6 / 4 = h / 28. h = (6 * 28) / 4 = 6 * 7 = 42 meters.
Detailed Options Breakdown
Option : 42 m (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 32 m
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 2: 38 m
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: 48 m
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
💡 Study Guide: This question tests core syllabus concepts from Triangles. For formulas, key summaries, and mock exam reference guides, read the full Triangles Revision Notes.