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The length of the shadow of a vertical p...

The length of the shadow of a vertical pole of height `h ,` thrown by the suns rays at three different moments are `h ,2h and 3h` . Find the sum of the angles of elevation of the rays at these three moments.

A

`( pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/( 6)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The length of the shadows of a vertical pole of height h, thrown by the sun,s rays at three different moments are h, 2h and 3h . The sum of the angles of elevation of the rays at these three moments is equal to

    A
    `pi/2`
    B
    `pi/3`
    C
    `pi/4`
    D
    `pi/6`

  • The length of the shadow of a vertical pole is 1/sqrt3 times its height. Find the angle of elevation .

    A
    `60^0`
    B
    `45^0`
    C
    `90^0`
    D
    `30^0`

  • At an instant, the length of the shadow of a pole is sqrt3 times the height of the pole. The angle of elevation of the Sun at that moment is

    A
    `75^@`
    B
    `30^@`
    C
    `45^@`
    D
    `60^@`

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    If the ratio of the length of a pole and its shadow is 1:1 then find the angle of elevation of sun.

    If the length of the shadow of a tower is sqrt(3) times its height of then the angle of elevation of the sun is

    If the length of shadow of a vertical pole on the horizontal ground is sqrt3 times of its height, then the angles of elevation of sun is :

    If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is

    The shadow of a tower at a time is three times as long as its shadow when the angle of elevation of the Sun is 60^(@) . Find the angle of elevation of the Sum at the time of the longer shadow.

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