Question

At any point or time the length of shadow of a poles is equal to the length of the pole, then find sum altitude.

Answer 1

SOLUTION ☺️

Let the height of the pole (AB) = x m

Length of the shadow (AC) = x m {pole of AB}

=) let the angle of elevation be angle ACB = Theta

In ∆ABC, tan theta = AB/AC

=) tan theta = x/x

=) tan theta = 1

=) theta = 45°

hope it helps ✔️

Answer 2

Step-by-step explanation:

Let the height of the pole be x

∵ height of the pole = length of the shadow

∴ the length the shadow = x

let the angle of elevation of the sun be Ф

then.

tanФ = x/x

or, tanФ = 1

or, tanФ = tan45° .......................(∵ tan45° = 1)

∴ Ф = 45°