A tower HP standing vertically at the orthocentre H of a triangle ABC subtends an angle A at the vertex A of the triangle. The height of the tower is....

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Text solutionVerified

The distance of orthocentre H from the vertices A, B, C are

2 R cos A, 2 R cos B

and

2 R cos C

where R is circum-radius of the triangle and

\frac{a}{s in A} = 2 R

A H = H P co t A

2 R cos A = h co t A

\frac{a}{s in A} cos A = h co t A ∴ h = a

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Question Text	A tower HP standing vertically at the orthocentre H of a triangle ABC subtends an angle A at the vertex A of the triangle. The height of the tower is....
Answer Type	Text solution:1
Upvotes	150

A tower HP standing vertically at the orthocentre H of a triangle ABC subtends an angle A at the vertex A of the triangle. The height of the tower is....

Text solutionVerified

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