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Two trees, A and B are on the same side...

Two trees, A and B are on the same side of a river. From a point C in the river the distance of the trees A and B is 250m and 300m, respectively. If the angle C is `45o`, find the distance between the trees (use `sqrt(2)=1. 44`).

Text Solution

Verified by Experts

`AB^2=CA^2+CB^2-2(CA)(CB)COS45^0`
`AB^2=250^2+300^2-2*250*300*1/sqrt2`
`AB=sqrt(250^2+300^2-sqrt2*250*300)`
`AB=215.5m`
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Knowledge Check

  • Two posts are 4 m apart. Both posts are on same side of a tree. If the angles of depression of these posts when observed from the top of the tree are 45 and 60° respectively, then what is the height of the tree?

    A
    `sqrt(3)+1`
    B
    `2sqrt(3)(sqrt(3)+1)`
    C
    `2(sqrt(3)+1)`
    D
    `4sqrt(3)(sqrt(3)+1)`

  • From two points A and B on the same side of a building the angles of elevation of the top of the building are 30^(@) and 60^(@) respectively. if the height of the building is 10 m find the distances between A and B correct to two decimal places

    A
    10 . 66 m
    B
    13 . 43 m
    C
    11 . 55 m
    D
    12 . 26 m

  • From the top of a lighthouse. 100 m high, the angle of depression of two ships are 30° and 45°, if both ships are on same side find the distance between the ships ?

    A
    A. 120 m
    B
    B. 180 m
    C
    C. 240 m
    D
    D. 360 m