Question

A circus artist is climbing a 40 m long rope, which is tightly stretched and tied from the top of a vertical pole. Find the height of the pole if the angle made by the rope with the ground level is 60°. *


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Answer 1

Answer:

see below

Step-by-step explanation:

Let AB be the vertical pole and CA be the rope. Then,

∠ACB=30  

o

 and AC=20 m

In right △ ABC,

sin30  

o

=  

AC

AB

​  

 

2

1

​  

=  

20

AB

​  

 

AB=10 m

Therefore, the height of the pole is 10 m.