a man of height 1.8 m stands in semicircle at with distance of 0.9m to one end find width of Arc and his head touches the arc..
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Given a man of height 1.8 m stands in semicircle at with distance of 0.9 m to one end find width of Arc and his head touches
- By Pythagoras theorem we get
- So r^2 = (1.8)^2 + (r – 0.9)^2
- = (1.8)^2 + r^2 – 1.8 r + 0.9^2
- So 1.8 r = (1.8)^2 + (0.9)^2
- = 3.24 + 0.81
- So 1.8 r = 4.05
- Or r = 4.05 / 1.8
- So r = 2.25
- Now d = 2r
- = 2 x 2.25
Or d = 4.5 m
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