A boy 0.5m tall is standing at a distance and watching a balloon tied to a pole of 20 m long at an angle of 30 as he walks towards it the angle changes to 60. Find the distance he walked towards the pole
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Answer:
distance of the pole =20m.
for 30° angle
tan30°=1/√3
therefore distance between the pole and the boy=20√3m.
again,
for 60°angle,
tan60°=√3/1
therefore, distance from the boy to the pole = 20/√3
now, the distance he walked towards the pole = 20√3-20/√3
= 60-20/√3
= 40/√3
= 40×√3/√3×√3
=40√3/3m . answer
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