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°. (see fig.)

C:\Users\User\Desktop\NCERT\images\tri-prob1.JPG

Given: 

AC = 20 m and angle C = 30°

To Find:

Height of the pole

Let AB be the vertical pole

Solution

sin30° = {AB}/{AC}

AB = 1/2 * 20

AB = 10m

Height of pole = 10m

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