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The respective ratio between the height of tower and the point at some distance from its foot is 57 :193: 19 sqrt{3}. What is the angle (in degrees) of elevation of the top of the tower?

a

60

b

75

c

45

d

30

Answer : Option A
Explanation :

AB = Tower

BC = Distance from the foot

tanθ=ABBC=57193=3 an heta=frac{mathrm{AB}}{mathrm{BC}}=frac{57}{19 sqrt{3}}=sqrt{3}

tanθ=tan60θ=60Rightarrow an heta= an 60^{circ} Rightarrow heta=60^{circ}

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