Question

if the altitude of the sun is at 60° then find the height of the vertical tower that will cast a shadow of length 30 m

Answer 1

Hope this answer helped u

Answer 2

Answer:

51.96 m.

Step-by-step explanation:

Refer the attached figure .

The altitude of the sun is at 60° i.e. ∠ACB= 60°

Let the height of tower be x i.e. AB =x

Length of shadow = 30 m i.e. BC = 30 m

In ΔABC

To find the height of tower we will use trigonometric ratio

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

$tan 60 ^{\circ} = \frac{AB}{BC}$

$\sqrt{3} = \frac{x}{30}$

$30\sqrt{3} = x$

$51.96 m= x$

Hence the height of tower is 51.96 m.