MCQ
A pole casts a shadow of length $2\sqrt{3}\text{m}$ on the ground when the sun's elevation is $60^\circ$ . The height of the pole is :
- A$4\sqrt{3}\text{m}$
- ✓$6\text{m}$
- C$12\text{m}$
- D$3\text{m}$
✓
Answer
Correct option: B.
$6\text{m}$
Let $AB $ be the pole and $BC$ be its shadow.
We have,
$\text{BC}=2\sqrt{3}\text{m}$ and $\angle\text{ACB}=60^\circ$
In $\triangle\text{ABC},$
$\tan60^\circ=\frac{\text{AB}}{\text{BC}}$
$\Rightarrow\sqrt{3}=\frac{\text{AB}}{2\sqrt{3}}$
$\therefore\ \text{AB}=6\text{m}$
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
$\frac{2\tan30^\circ}{1-\tan^230^\circ}$ is equal to :
→If one of the zeroes of the cubic polynomial $x^3-7 x+6$ is $2,$ then the product of the other two zeroes is :
→If the product of the roots of the equation $x^2 - 3x + k = 10$ is $-2$ then the value of $k$ is:
→Choose the correct answer from the given four options:
The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below:
The number of atheletes who completed the race in less then 14.6 seconds is:
The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below:
|
Class
|
13.8-14
|
14-14.2
|
14.2-14.4
|
14.4-14.6
|
14.6-14.8
|
14.8-15
|
|
Frequency
|
2
|
4
|
5
|
71
|
48
|
20
|
Choose the correct answer from the given four options in the following questions:The number of polynomials having zeroes as -2 and 5 is:
A cylinder with base radius of $8\ cm$ and height of $2\ cm$ is melted to form a cone of height $6\ cm$. The radius of the cone is :
→The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant.
If the difference of mode and median of a data is 24, then the difference of median and mean is
$(5 + 13 + 21 + .... + 181) = ?$
→If $\text{HCF}\ (a, b) = 12$ and $a \times b = 1800, $ then $\text{LCM}\ (a, b$) is :
→