please help!!

Question

itwo wires are connected to a tower at the same point on the tower.wire 1 makes an angle og 45° with the ground and wire 2 makes an angle of 60° with the ground.

a) if the point where the two wires connect to the tower is 25m above the groung determine exact expression for the lenght of the two wires. use these expression to determine the length of each wire to nearest tenth metre. 

 

Answer 1

Draw the diagram.

Let length of the first Wire = x

Length of the second wire = y

sin(θ) = Opposite side/hypotenuse

Now we can able to write sin(45) = 25/x and sin(60) = 25/y

Solve for x.

sin(45) = 25/x

1/√2 = 25/x

Cross multiplication.

x = 25√2

x = 25(1.414) = 35.35

Length of the first wire = 35.3m.

Solve for y.

sin(60) = 25/y

√3/2 = 25/y

√3y = 50

y = 50/√3

y = 50/1.732

y = 28.86

Length of second wire = 28.9m.