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80 metre away from the foot of the tower, the angle of elevation of the top of the tower is 60°. What is the height (in metres) of the tower?

a

40

b

403frac{40}{sqrt{3}}

c

60360 sqrt{3}

d

80380 sqrt{3}

Answer : Option D
Explanation :

AB = Tower

BC = 80 metre

∠ACB = 60°

In ’ABC,

tan60=ABBC an 60^{circ}=frac{mathrm{AB}}{mathrm{BC}}

3=AB80Rightarrow sqrt{3}=frac{mathrm{AB}}{80}

AB=803Rightarrow mathrm{AB}=80 sqrt{3} metre

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