Question

at some time of the day the length of the shadow of the tower is equal to it's height find sun's altitude at that time

Answer 1

the sun altitude is 60 degree

Answer 2

Answer:

45°

Step-by-step explanation:

Refer the attached figure

Let the height of the tower be x

Since we are given that the length of the shadow of the tower is equal to it's height

So, Length of shadow is x

So, AB =BC = x

Now In ΔABC

$Tan\theta =\frac{Perpendicular}{Base}$

$Tan\theta =\frac{AB}{BC}$

$Tan\theta =\frac{x}{x}$

$Tan\theta =1$

$\theta =Tan^{-1}$

$\theta =45^{\circ}$

Hence  sun's altitude at that time is 45°