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The shadow of a tower standing on a level plane is found to be 50 m longer when when sun's elevation is `30^(@)` than when it is `60^(@)`. Find the height of the tower.

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To solve the problem, we need to find the height of the tower based on the information given about the lengths of the shadows at different angles of elevation of the sun. ### Step-by-Step Solution: 1. **Define Variables:** Let the height of the tower be \( h \) meters. Let the length of the shadow when the sun's elevation is \( 60^\circ \) be \( x \) meters. 2. **Use Trigonometric Ratios:** ...
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The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun's elevation is 30^(@) than when it is 60^(@) What is the height of the tower ?

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Knowledge Check

  • The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun's elevation is 30^(@) than when it is 60^(@). The height of the tower is

    A
    A. 25 m
    B
    B. `25 sqrt 3 m `
    C
    C. ` 50 m `
    D
    D. None of these

  • The shadow of a tower standing on a level plance is found to be 40 m longer when the sun's elevation is 30^(@) than when it was 60^(@) then what is the height of the tower ?

    A
    10 m
    B
    `10 sqrt3 m`
    C
    20 m
    D
    `20 sqrt3 m`

  • The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun's elevation is 30^@ . Whan it is 60^@ , then what is the height of the tower ?

    A
    25 m
    B
    `25 sqrt3 m`
    C
    `(25)/(sqrt3)`
    D
    `30m`

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