MCQ
A pole $6 m$ high casts a shadow $2 \sqrt{3} m$ long on the ground, then the sun's elevation is
- A$30^{\circ}$
- ✓$60^{\circ}$
- C$45^{\circ}$
- D$90^{\circ}$
✓
Answer
Correct option: B.
$60^{\circ}$
Let height $=6 m$
length of shadow $=2 \sqrt{3 m}$
$\theta$ is angle of elevation
$\tan \theta=\text { (height) } / \text { (shadow length) }$
$=\frac{6}{2} \sqrt{3}=\sqrt{3}$
$\theta=\frac{\pi}{3}$
Angle of inclination is $=60^{\circ}$
length of shadow $=2 \sqrt{3 m}$
$\theta$ is angle of elevation
$\tan \theta=\text { (height) } / \text { (shadow length) }$
$=\frac{6}{2} \sqrt{3}=\sqrt{3}$
$\theta=\frac{\pi}{3}$
Angle of inclination is $=60^{\circ}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The distance between the points $(2,3)$ and $(5,6)$ is -
→If $\alpha$ and $\beta$ are the zeroes of the quadratic polynomial $p(x)=x^2-a x-b$, then the value of $\alpha^2+\beta^2$ is
→The upper part of a tree broken by the windfalls to the ground without being detached. The top of the broken part touches the ground at an angle of $30^\circ$ at a point $8m$ from the foot of the tree. The original height of the tree is :
→In the adjoining figure, If $OC = 9 \ cm$ and $OB = 15 \ cm,$ then $BC + BD$ is equal to
→$\sin 2 A=2 \sin A$ is true when $A=$
→Which of the following is not a measure of central tendency?
On the level ground, the angle of elevation of a tower is $30^\circ $. On moving $20m$ nearer, the angle of elevation is $60^\circ $. The height of the tower is :
→What is the probability that a leap year has 52 Mondays?
How many bags of grain can be stored in a cuboidal granary $(8m \times 6m \times 3m),$ if each bag occupies a space of $0.64 \mathrm{~m}^3?$
→In the given figure, $O$ is the centre of the circle and $PA$ is a tangent to the circle. If $\angle OAB =60^{\circ}$, then $\angle OPA$ is equal to:
→