Respuesta :
If the transmitting tower of a tv station is held upright by guy wires that extend from the top of the tower to the ground, the horizontal component is larger if θ < 45°
The force along the guy wires is tension force. Resolving the tension force into its horizontal and vertical component. Let the vertical component be Ty and the horizontal component be Tx. Since these two components are perpendicular to each other and the actual tension force connects these two components it forms a right angled triangle.
In a right angled triangle, trigonometric ratios are applicable.
sin θ = Opposite side / Hypotenuse
cos θ = Adjacent side / Hypotenuse
Here,
Hypotenuse = T
Adjacent side = Tx
Opposite side = Ty
Tx = T cos θ
Ty = T sin θ
If θ > 45°, Ty is larger and if θ < 45°, Tx is larger.
Therefore, the horizontal component is larger if θ < 45° and the vertical component is larger if θ > 45°
To know more about resolving horizontal and vertical component
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