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Three villagers A, B and C can see each ...

Three villagers A, B and C can see each other across a valley. The horizontal distance between A and B is 8 km and the horizontal distance between B and C is 12 km. The angle of depression of B from A is `20^(@)` and the angle of elevation of C from B is `30^(@)`. Calculate:
the vertical between A and B.

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Three villagers A, B and C can see each other across a valley. The horizontal distance between A and B is 8 km and the horizontal distance between B and C is 12 km. The angle of depression of B from A is 20^(@) and the angle of elevation of C from B is 30^(@) . Calculate: The vertical height between B and C. (tan 20^(@)=0.3640, sqrt(3)=1.732) .

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