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
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Length of the rope is 20 m and angle made by the rope with the ground level is 30°.
Given: AC = 20 m and angle C = 30°
To Find: Height of the pole
Let AB be the vertical pole
In right ΔABC, using sine formula
sin 30° = AB/AC
Using value of sin 30 degrees is ½, we have
1/2 = AB/20
AB = 20/2
AB = 10
Therefore, the height of the pole is 10 m.
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