Math, asked by abhinav234799, 11 months ago

pls explain step by step​

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Answered by Anonymous
1

Hey it's so simple...!!!

Here is ur ans:

D ans is (1)60degree

Hope it helps...!!!

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Answered by Anonymous
0

SOLUTION:-

Given:

A flagstaff of 6m height placed on top of tower casts a shadow of 2√3m long the ground.

To find:

The angles that sun make with ground.

Solution:

Let OA & AB be the shadow of tower OP & flag staff PQ respectively.

In ∆OAP,

 =  > tan \theta =   \frac{OP}{OX}  \\  \\  =  > tan \theta =  \frac{h}{x}.............(1)

&

In ∆OBQ,

 =  > tan \theta =  \frac{OQ}{OB}  \\  \\  =  > tan \theta =  \frac{h + 6}{x + 2 \sqrt{3} } ..............(2)

From equation (1) & (2), we get;

 =  >  \frac{h}{x}  =  \frac{h + 6}{x + 2 \sqrt{3} }  \\  \\  =  > x =  \frac{h}{ \sqrt{3} }

So,

Putting the value of x in equation (1), we get;

tan \theta =  \frac{ \frac{h}{h} }{ \sqrt{3} }  \\  \\ =  > tan  \theta =  \sqrt{3}  \\  \\  = > \theta = 60 \degree

Thus,

The angle that sun make with ground is theta= 60°.

Hope it helps ☺️

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