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Two wires support an electricity pole. if the wires make angles of 58°and 67° with the ground and |AB|=21m, calculate the lengt...Asked by mishael
Two wires support an electricity pole. if the wires make angles of 58°and 67° with the ground and |AB|=21m, calculate the lengths of the wires
Answers
Answered by
Henry
<A + <B = 67o + 58 - 125o.
<C = 180-125 = 55o.
Using Law of Sine:
Sin55/21 = Sin58/AC. AC = ?.
Sin55/21 = Sin67/BC. BC = ?.
<A and <B are the angles between the wires and gnd.
<C is formed by the wires at the point of connection to the pole.
<C = 180-125 = 55o.
Using Law of Sine:
Sin55/21 = Sin58/AC. AC = ?.
Sin55/21 = Sin67/BC. BC = ?.
<A and <B are the angles between the wires and gnd.
<C is formed by the wires at the point of connection to the pole.
Answered by
Steve
another way to do it is to use the cot function. If the pole's height is h, then
h cot67° + h cot 58° = 21
So, h = 21/(cot67°+cot58°)
Then using h, the lengths of the wires are
h csc 67° and h csc 58°
h cot67° + h cot 58° = 21
So, h = 21/(cot67°+cot58°)
Then using h, the lengths of the wires are
h csc 67° and h csc 58°
Answered by
Adesewa
What of the diagram
Answered by
Olaniyan
The diagram of the question and complete solution
Answered by
Favour
What of the diagram.