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  • A vertical tower of height 20 m stands on a horizontal plane and is surmounted by a vertical flag – staff of height h. At a point on the plane, the angle of elevation of the bottom and top of the flag staff are 45° and 60° respectively. F

A vertical tower of height 20 m stands on a horizontal plane and is surmounted by a vertical flag – staff of height h. At a point on the plane, the angle of elevation of the bottom and top of the flag staff are 45° and 60° respectively. Find the value of h. 

 

 

Answers (1)

\\tan60=\frac{h+20}{AB}\\\sqrt{3}=\frac{h+20}{AB}.........(1)\\\\tan45=\frac{20}{AB}\\1=\frac{20}{AB}.........(2)\\(1)/(2)\Rightarrow \\\\\sqrt{3}=\frac{h+20}{20}\\\sqrt{3}=\frac{h}{20}+1\\\\\frac{h}{20}=\sqrt{3}-1\\\\h=20(\sqrt{3}-1)m

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