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

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`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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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`).

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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?

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

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 ?

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NCERT-TRIGONOMETRIC FUNCTIONS-EXERCISE 3.5