40. The angles of elevation of the ...
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40. The angles of elevation of the top of a tower 30 m. High, from two points on the level ground on its opposite sides are 45° and 60° what is the distance between the two points? (1) 47.32 m (2) 41.23 m (3) 38.12 m (4) 52.10 m

11th - 12th Class
Maths
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40. (1) Let ( A C ) be the tower ( therefore quad frac{A C}{B C}=tan 45^{circ} Rightarrow B C=A C=30 mathrm{m} ) and ( quad frac{A C}{C D}=tan 60^{circ} ) [ C D=frac{A C}{sqrt{3}}=frac{30}{sqrt{3}}=10 sqrt{3} mathrm{m} ] So, required distance ( =(30+10 sqrt{3}) mathrm{m} ) ( =(30+17.32)=47.32 mathrm{m} )
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