Question

One end of a transmission wire which exerts a horizontal tension of 850 lbs is fastened to a pole where a guy wire is also fastened. What is the angle which the guy wire can make with the pole if it exerts a tension of 1,400 lbs?

Answer 1

Answer on Question #63906, Physics / Mechanics | Relativity

One end of a transmission wire which exerts a horizontal tension of 850 lbs is fastened to a pole where a guy wire is also fastened. What is the angle which the guy wire can make with the pole if it exerts a tension of 1,400 lbs?

Solution:

cos a = 850 lbs / 1400 lbs = 0.607

$a = \arccos(0.607) = 52.6{}^{\circ}$

Total acute angles of a right triangle is equal to $90{}^{\circ}$

$90{}^{\circ} = \angle a + \angle b$

$\angle b = 90{}^{\circ} - 52.6{}^{\circ} = 37.4{}^{\circ}$

$\angle c = 52.6{}^{\circ}$

Answer: $52.6{}^{\circ}$

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