Answer:
The angle is 48.24°.
Explanation:
Given that,
Tension [tex]T= 0.75 \times W[/tex]
Let [tex]\theta[/tex] be the angle of wires with vertical
The total force in vertical direction from the wires
[tex]F= 2T\cos\theta[/tex]
We need to calculate the angle
Using balance equation
[tex] 2T\cos\theta=W[/tex]
Put the value of T in the equation
[tex]2\times 0.75 \times W\cos\theta=W[/tex]
[tex]\cos\theta=\dfrac{1}{2\times0.75}[/tex]
[tex]\cos\theta=0.666[/tex]
[tex]\theta=\cos^{-1}0.666[/tex]
[tex]\theta=48.24^{\circ}[/tex]
Hence, The angle is 48.24°.
