Answer:
The required distance is 17.34 meters.
Step-by-step explanation:
The lengths of the two wires are 12 meters and 16 meters. and the angle between the wires is 75°.
Now, we have to calculate the distance between the wires on the ground.
Therefore, we have to calculate the length of the side which is the opposite side of angle 75° of the triangle formed by the wires and the ground.
Applying the formula of properties of the triangle, if the length required is x, then
[tex]\cos 75^{\circ} = \frac{12^{2} + 16^{2} - x^{2}}{2 \times 12 \times 16}[/tex]
⇒ 99.38 = 144 + 256 - x²
⇒ x = 17.34 meters. (Answer)
