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Question

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole if the angle made by the rope with the ground level is 30  [1 MARK]


Solution

Let AB be the vertical pole and CA be the 20 m long rope such that its one end is tied from the top of the vertical pole AB and the other end C is tied to a point C on the ground.



In ΔABC, we have

sin 30=h20                                                           [12 MARK]

12=h20

h=10 m                                                            [12 MARK]

Hence, the height of the pole is 10 m.

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