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The angle of elevation of the top of the...

The angle of elevation of the top of the tower observed from each of three points A,B , C on the ground, forming a triangle is the same angle `alpha.` If R is the circum-radius of the triangle ABC, then find the height of the tower R `tan alpha. `

A

`R sin alpha `

B

`R cos alpha `

C

`R cot alpha `

D

`R tan alpha `

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The angle of elevation of the top of the tower observed from each of the three points A,B,C on the ground, forming a triangle is the same angle alhpa . If R is the circum-radius of the DeltaABC , then the height of the tower is

    A
    `Rsinalpha`
    B
    `Rcosalpha`
    C
    `Rcotalpha`
    D
    `Rtanalpha`

  • The angle of elevation of the top of the tower observed from each of the three points A, B and C on the ground forming a triangle is same l.i.e. angle alpha if R is the circumradius of the DeltaABC , then the height of the tower is

    A
    `R sin alpha`
    B
    `R cos alpha`
    C
    `R cot alpha`
    D
    `R tan alpha`

  • The angle of elevation of the top of a hill from each of the verticles A,B,C of a horizontal triangle is alpha . The height of the hill is

    A
    b tan `alpha` cosec `beta`
    B
    `1/2` a tan `alpha` cosec `alpha`
    C
    `1/2c tan alpha cosec beta`
    D
    none of these

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