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 Answer
Solution:
Let AB be the vertical pole Ac be 20 m long rope tied to point C.
In right ΔABC,
sin 30° = AB/AC
⇒1/2 = AB/20
⇒AB = 20/2
⇒AB =10
The height of the pole is 10m.
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