Question

the height of a pillar is 8 metre what is the length of its shadow, when sun's altitude is 30°​

Answer 1

Answer:

8*sqrt3

Step-by-step explanation:

tan 30°=1/sqrt3

tan 30°=8/x

8/x=1/sqrt3

8*sqrt3=x

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Answer 2

Given : The height of a pillar is 8 metres. Sun's angle of elevation is 30°.

To find : The length of the shadow.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the length of the shadow)

Here, we have to imagine the whole scenario as a right angled triangle.

Where,

• Shadow = Base
• Pillar = Height

So,

Height/Base = tan 30° [30° is Sun's angle of elevation]

or,

Pillar/Shadow = tan 30°

8 /Shadow = (1/√3) [Pillar's height = 8m]

Shadow × 1 = 8 × √3

Shadow = 8√3 metres

(This will be considered as the final result.)

Hence, the length of the shadow is 8√3 metres.