The tops of two poles of height 20m and 14m are connected by a wire.if the wire makes an angle of 30 degrees with horizontal, then find the length of the wire
Answers
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
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Height of one pole = 20m
height of another pole = 14m
height of bigger pole above the top of smaller pole = 20-14= 6m
length of wire = lm
the wire make an angle of 30degree with horizontal
sin 30degree = 6/l
1/2 = 6/l
cross multiplication
l = 12
hence, length of wire = 12 m