Home > Introduction to Trigonometry and Its Applications > CBSE > ac3c6a86-1656-4175-afd6-a05f6eec619b
Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Introduction to Trigonometry and Its Applications
NCERT Exemplar
CBSE
Grade 10

Question:

If the angle of elevation of the sun is $60^\circ$, then the length of the shadow cast by a tree of height $h$ metres is:
(a) $\dfrac{h}{\sqrt{3}}\text{ m}$
(b) $h\sqrt{3}\text{ m}$
(c) $\dfrac{h}{2}\text{ m}$
(d) $\dfrac{h}{\sqrt{2}}\text{ m}$

Step-by-Step Solution

Key Concept: $\tan 60^\circ = \dfrac{\text{Height}}{\text{Shadow}} = \dfrac{h}{x}$.
$\sqrt{3} = \dfrac{h}{x} \Rightarrow x = \dfrac{h}{\sqrt{3}}\text{ m}$. [1.0 Mark]

---
🎯 Official CBSE Marking Scheme:
Applying $\tan 60^\circ = h/x \Rightarrow x = h/\sqrt{3}$: 1.0 Mark

Correct Answer: $\dfrac{h}{\sqrt{3}}\text{ m}$
Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.

Master Introduction to Trigonometry and Its Applications with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free