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

Answer 1

<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.

Answer 2

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°

Answer 3

What of the diagram

Answer 4

The diagram of the question and complete solution

Answer 5

What of the diagram.