Question

If the height of the pole is 2root3 m and then the length of the shadow is 2 m Find the angle of elevation of the sun​

Answer 1

Answer :

Angle of elevation (a) = 60°.

Step by step explanation :-

Given :

• Height of pole = 2√3 m
• Length of the Shadow = 2 m

To Find:

• Angle of elevation of the sun (a)

Construction:

Draw a line joining the tip of pole and the end of Shadow.Thus,forming a right-angled triangle.

Solution:

★Refer to the figure for better understanding.★

According to the right-angled triangle formed,

Let the height of pole be AC.

And,Length of Shadow as BC.

Angle of elevation (a) = tan a

As ,we know

$tan \: a = \dfrac{perpendicular}{base}$

Then,

$tan \: a = \frac{AC}{BC}$

$tan \: a = \frac{2 \sqrt{3} }{2}$

$tan \: a = \sqrt{3}$

Hence,

$a \: = {tan}^{ - 1} (\sqrt{3} )$

a = 60°

Therefore,the angle of elevation of the sun is 60°.