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Question
Shots are fired simultaneously from the top and bottom of a vertical cliff with elevation α=30∘ and β=60∘ respectively and strikes the object simultaneously at the same point. If a=30√3m is the horizontal distance of the object from the cliff, then the height of the cliff is
Shots are fired simultaneously from the top and bottom of a vertical cliff with elevation α=30∘ and β=60∘ respectively and strikes the object simultaneously at the same point. If a=30√3m is the horizontal distance of the object from the cliff, then the height of the cliff is
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Solution
The correct option is C 60 m
(v1 cos α)t=(v2 cos β)t=30√3 ....(1)
(v1 sin α)t−12gt2+h=(v+2 sin β)t−12gt2 ....(2)
From (1) and (2)h=60 m
60 m
(v1 cos α)t=(v2 cos β)t=30√3 ....(1)
(v1 sin α)t−12gt2+h=(v+2 sin β)t−12gt2 ....(2)
From (1) and (2)h=60 m
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9
