Question

the height of a pole is root 3h m if the length of the shadow of the pole is h m find the angle of elevation of the sun

Answer 1

Given :

• Height of pole = 3h m
• Length of the Shadow = h m

To Find:

• Angle of elevation of the sun

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 = tan a

As ,we know

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

Then,

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

$tan \: a = \dfrac{3h}{h}$

$tan \: a = 3$

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

$Therefore,the \: angle \: of \: elevation \\ \: of \: the \: sun \: is \: {tan}^{ - 1} (3).$