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The top of a hill observed from the top ...

The top of a hill observed from the top and bottom of a building of height `h` is at angles of elevation `p` and `q` respectively. The height of the hill is

A

`(h cot q)/(cot q-cot p)`

B

`(h cot p)/(cot p - cotq)`

C

`(h tan p)/(tan p - tanq)`

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The top of a hill observed from the top and bottom of a building of height ‘h’ is at angles of elevation p and q, respectively. The height of hill

    A
    (hcotq)/(cotq-cotp)
    B
    (hcotp)/(cotp-cotq)
    C
    (htanp)/(tanp-tanq)
    D
    None of these

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    A
    (hcotq)/(cotq-cotp)
    B
    (hcotp)/(cotp-cotq)
    C
    (htanp)/(tanp-tanq)
    D
    None of these

  • The top of a hill observed from the top and bottom of a building of height h is at angles of elevation alpha and beta respectively. The height of the hill is

    A
    `(hcotbeta)/(cotbeta-cotalpha)`
    B
    `(hcotalpha)/(cotalpha-cotbeta)`
    C
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    D
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