CBSE · Class 10 · Mathematics · Applications of TrigonometryThe ratio of the height of a tower and the length of its shadow on the ground is $\sqrt{3} : 1$. What is the angle of elevation of the sun?
Step-by-Step Solution
Let the height of the tower be $\sqrt{3}x$ and the shadow length be $x$. The angle of elevation $\theta$ is given by $\tan \theta = \frac{\text{Height}}{\text{Shadow length}} = \frac{\sqrt{3}x}{x} = \sqrt{3}$. Since $\tan 60^\circ = \sqrt{3}$, we get $\theta = 60^\circ$.
Detailed Options Breakdown
Option : 30°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.
Option 1: 45°
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.
Option 2: 60° (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 90°
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.