Question

the height of tower is 200m.when the altitude of sun is 30°,then find the length of its shadow.

Answer 1

angle of elevation = 30

h=200m                                           shadow =x

tan 30 = 200/x

1/√3 = 200/x                                     ∴x= 200√3

Answer 2

Answer:

The length of its shadow is $100\sqrt3\ m$

Step-by-step explanation:

Given : The height of tower is 200m. When the altitude of sun is 30°.

To find : The length of its shadow ?

Solution :

The situation is creating a triangle ABC,

Refer the attached figure below.

Let the height of the tower AB=100 m

The angle of elevation of the sun is $\theta= 30^\circ$

Let the length of the shadow be CB=x

In the triangle ABC,

Applying trigonometric property,

$\tan\theta=\frac{AB}{CB}$

$\tan 30^\circ=\frac{100}{x}$

$\frac{1}{\sqrt3}=\frac{100}{x}$

$x=100\sqrt3$

The length of its shadow is $100\sqrt3\ m$