Question

If at some time of the day the ratio of the height of a vertically standing pole tp the length pf its shadow on the ground is root 3 : 1 then find the angle pf elevation pf the sun at that time

Answer 1

your ans is attached

Answer 2

ANSWER

Find the  angle of elevation of the sun at that time.

To proof

As given in the question

The ratio of the height of a vertically standing pole TP the length PF its shadow on the ground is root 3 : 1 .

$\frac{TP}{PF} = \frac{\sqrt{3}} {1}$

as shown in the diagram given below

$tan\theta =\frac{perpendicular}{base}$

$tan\theta = \frac{TP}{PF}$

put the value

$tan\theta = \frac{\sqrt{3}} {1}$

$tan60^{\circ} = \sqrt{3}$

$\theta= tan^ {-1}( tan60^{\circ})$

$\theta = 60 ^{\circ}$

The angle of elevation is 60

Hence proved