If for the same range, the two heights attained are 20 m and 80 m, then the range will be
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a
20 m
b
40 m
c
120 m
d
160 m
answer is D.
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Detailed Solution
According to given condition, h1h2=sin2θsin290°-θ=2080⇒ tan2θ=14⇒tanθ=12sinθ=15 and cosθ=25So, h=u2sin2θ2g⇒ 20=u210g or u2g=200∴ The range, R=u2×2sinθcosθg=200×2×25×5 =200×45=160 m