Trigonometry question on heights and distances?

From two points A and B on the same side of a building, the angles of elevation fo the top of the buildings are 30 degrees and 60 degrees respectively. If the height of the building is 10m, find the distance between A and B correct to two decimal places.

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  • M3
    Lv 7
    1 decade ago
    Favorite Answer

    let the distance from A & B be x m & y m resply., then

    10/x = tan 30° or x = 10/ tan 30°

    similarly, y = 10 / tan 60°

    thus distance between A & B = 10 /tan 30° + 10/tan 60°

    = 23.094 => 23.09 m to 2 DP

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