Question

The tops of two poles of height 20m and 14m are connected by a wire. If the wire makes an angle of 30°
with the horizontal, then the length of the wire in metres in between two poles is​

Answer 1

Given : The tops of two poles of height 20m and 14m are connected by a wire. The wire makes an angle of 30 degrees with horizontal

To find:   the length of the wire

Solution:

Height of one  pole = 20 m

Height of another pole = 14 m

Height of bigger pole above the top of Smaller pole = 20 - 14  = 6 m

Let sat length of the wire =   L m

the wire makes an angle of 30 degrees with horizontal,  

=> Sin 30°  = 6 /L

=> 1/2 = 6/L

=> L = 12

Length of Wire = 12 m