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The shadow of a tower standing on a leve...

The shadow of a tower standing on a level ground is found to be 40 m longer when the Suns altitude is `30o`than when it is `60o`. Find the height of the tower.

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To find the height of the tower using the information given about the shadows at different angles of elevation, we can follow these steps: ### Step-by-Step Solution: 1. **Define Variables**: - Let \( h \) be the height of the tower (AB). - Let \( x \) be the length of the shadow when the sun's altitude is \( 60^\circ \) (BC). - The shadow when the sun's altitude is \( 30^\circ \) (BD) is \( x + 40 \) meters. ...
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Knowledge Check

  • The shadow of a tower standing on a level plane is found to be 50m longer when sun's altitude is 30^@ then when it is 60^@. Find the height of tower.

    A
    40.3m
    B
    43.3m
    C
    43.9m
    D
    46.3m

  • The shadow of a tower standing on a level plane is found to be 40 m longer when the sun 's altitude is 45^(@) , than when it is 60^(@) . The height of the tower is

    A
    `30(3+sqrt(3))` metre
    B
    `40(3+sqrt(3))` metre
    C
    `20(3+sqrt(3))` metre
    D
    `10(3+sqrt(3))` metre

  • The shadow of a tower standing on a level ground is found to be 40 m longer when the sun's altitude becomes 30^(@) " from ' 45^(@) . Find the height of the tower

    A
    644 m
    B
    66.644 m
    C
    54.644 m
    D
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