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The legs of a tripod are each 10cm in length,and their points of contact with a horizontal table on which the tripod stands from a triangle whose sides are 7,8 and 9cm. in length.Find the inclination of the legs to the horizontal,and the height of the apex.

The legs of a tripod are each 10cm in length,and their points of contact with a horizontal table on which the tripod stands from a triangle whose sides are 7,8 and 9cm. in length.Find the inclination of the legs to the horizontal,and the height of the apex.

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Its a very simple question. You just have to use cosine and  sine formula.

 

If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that

In figure (i),

A < 90o

But from D BAE, we have

In figure (ii),

A > 90o

But from D BAE, we have

In figure(iii),

From (i), (ii) and (iii), we conclude that

Similarly, b2 = c2 + a2 - 2 ca cos B

 

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Sagar Singh

B.Tech, IIT Delhi



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