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MP Board · Class 10 · Mathematics · Applications of TrigonometryIf the length of the shadow of a tower is decreasing, then the angle of elevation of the sun is:

Step-by-Step Solution

As the shadow of a tower decreases, the sun gets higher in the sky, moving closer to being directly overhead. Trigonometrically, $\tan \theta = \frac{\text{Height}}{\text{Shadow length}}$. Since the height is constant and the shadow length decreases, the value of $\tan \theta$ increases, which means the angle of elevation $\theta$ increases.

Detailed Options Breakdown
Option : Decreasing

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.

Option 1: Increasing (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 2: Constant

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.

Option 3: Zero

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.

💡 Study Guide: This question tests core syllabus concepts from Applications of Trigonometry. For formulas, key summaries, and mock exam reference guides, read the full Applications of Trigonometry Revision Notes.
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