Aguy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna. if the wire makes an angle of 58deg 20min with the group find the length of the wire.

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

In a right angled triangle

Therefore the length of the wire is 76.19 m.

6 adults and 9 children went.

a + c = 15

12a + 9c = 153

12(6) + 9(9) = 153

72 + 81 = 153