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°

Answer 1

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 1/2 , we have
1/2 = AB/20
AB= 20/2
AB= 10
Therefore,the height of the pole is 10m.