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ABC,BAC=90 riangle mathrm{ABC}, angle mathrm{BAC}=90^{circ} और AB=12BCmathrm{AB}=frac{1}{2} mathrm{BC} में। तब ACBangle A C B का माप है:

a

30°

b

60°

c

45°

d

15°

Answer : Option A
Explanation :

If AB = x; BC = 2x unitsIf AB = x; BC = 2x units

AC=4x2x2=3x herefore mathrm{AC}=sqrt{4 x^{2}-x^{2}}=sqrt{3} x

sinACB=ABBC=12=sin30 herefore sin A C B=frac{A B}{B C}=frac{1}{2}=sin 30^{circ}

ACB=30 herefore angle A C B=30^{circ}

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