Question

the tops of two poles of height 20m and 14m are connected by wire.if the wire makes an angle of 30 with the horizontal the length of the wire is

Answer 1

distance between two poles x
tan 30°=6/x
1/√3=6/x
x=6√3
right angle triangle
(6√3)^2+6^2=y^2
36*3+36=y^2
y^2=144
y=12
rope length 12m

Answer 2

Answer:

The length of the wire is 12 m

Step-by-step explanation:

Step 1:

Let us assume AB and CD as the two poles with height 20 m and 14 m. Take a point P on AB such that PB = CD.  

Then, AP = AB - PB = AB - CD = 20 - 14 = 6

Step 2:

Now, join AC and CP.

AC is the wire connecting the tops. So, you have to find AC.

Step 3:

In ACP,  

Þ sin 30 = AP/AC

Þ 1/2 = 6/AC

Þ AC = 12