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Byju's Answer

Standard XII

Mathematics

Circular Measurement of Angle

Shots are fir...

Question

Shots are fired simultaneously from the top and bottom of a vertical cliff with elevation $α = 30^{\circ} and β = 60^{\circ}$ respectively and strikes the object simultaneously at the same point. If $a = 30 \sqrt{3} m$ is the horizontal distance of the object from the cliff, then the height of the cliff is

30 m

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45 m

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60 m

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90 m

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Solution

The correct option is C
60 m

$(v_{1} c o s α) t = (v_{2} c o s β) t = 30 \sqrt{3} . . . . (1)$

$(v_{1} s i n α) t - \frac{1}{2} g t^{2} + h = (v + 2 s i n β) t - \frac{1}{2} g t^{2} . . . . (2)$

$From (1) and (2) h = 60 m$

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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

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

The correct option is C
60 m

$(v_{1} c o s α) t = (v_{2} c o s β) t = 30 \sqrt{3} . . . . (1)$

$(v_{1} s i n α) t - \frac{1}{2} g t^{2} + h = (v + 2 s i n β) t - \frac{1}{2} g t^{2} . . . . (2)$

$From (1) and (2) h = 60 m$