# chs

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

1. 👍
2. 👎
3. 👁
1. Draw a diagram. If the pole has height h, then

h = 21/(cot58°-cot67°) = 104.8

The two wires have length

104.8 csc67° = 113.9
104.8 csc58° = 123.6

1. 👍
2. 👎
2. sorry steve you failed
All angles of a triangle add up to 180
degrees, so you have 2 angles you can
Find the third angle by 180-58-67=55

Now use the law of sines...(capital
is the angle and lower case the
side across from said angle

you have the 3 angles now and 1 side
use law of sines
a/sinA=b/sinB=c/sinC
(law of cos is for if you know sides
but not angles)
(law of tan if you know 3 of the 4
unknowns c^2=a^2+b^2-2abcos(C) )

well the top angle(C) is 55
which means AB would be across from
it being 21
so
a/sin58=b/sin67=21/sin55

so because c=21/sin55=
a=21/sin(55 deg)*sin(58 deg)
b=21/sin(55 deg)*sin(67 deg)

so
a = 21.7407868825
b = 23.5983076125

now just test this using tan

(remember bedmas order of operations)
2*21.7407868825*23.5983076125*cos(55 deg)
=588.541936444
=2*
21.7407868825^2+23.5983076125^2
=1029.541936444
1029.541936444-588.541936444
=441
441 on the nose!

and i have been out of school for 20 years

1. 👍
2. 👎

## Similar Questions

1. ### Math

A construction crew wants to hoist a heavy beam so that it is standing up straight. They tie a rope to the beam, secure the base, and pull the rope through a pulley to raise one end of the beam from the ground. When the beam makes

2. ### Vectors

A traffic sign is hanging from two wires. If the weight of the sign is 35 N, what are the tensions in the two wires as shown below? Traffic sign hanging by two wires, making an angle of 56 and 45

3. ### Maths

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

4. ### Physics

A street lamp weighs 150 N. It is supported by two wires that form an angle of 140° with each other. The tensions in the wires are equal. (a) What is the tension in each wire? (b) If the angle between the wires is reduced to

1. ### Math

The lengths of three wires were 30m, 36 m and 84m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained.

2. ### physics

TV-reception antennas for VHF (channels 2 through 13) are constructed with cross wires supported at their centers, as shown in Figure 23.24. The ideal length for the cross wires is one-half the wavelength to be received, with the

3. ### physics

A bag of cement of weight 300 N hangs from three wires. Two of the wires make angles θ1 = 50.0° and θ2 = 28.0° with the horizontal. Assuming the system is in equilibrium, find the tensions in the wires.

4. ### Maths

A communications tower has many guy wires supporting it. Two of these guy wires are 10.0 m and 8.0 long. They are attached at the same point on the ground. The longer wire has an angle of inclination of 60 degrees. a) How far from

1. ### calculus and vectors

A traffic sign is hanging from two wires. If the weight of the sign is 35 N, what are the tensions in the two wires as shown below? (# in degrees) --------------------- \ 56 45/ \ / \ / \ /

2. ### Physics

A street lamp weighs 158 N. It is supported equally by two wires that form an angle of 107˚ with each other. What is the tension of each of these wires?

3. ### science

Which option describes nonmetals? They are good for making into wires. They conduct heat efficiently. They are used to make machinery. They conduct electricity poorly. D?

4. ### College Physics

Two long, straight, parallel wires 8.0 cm apart carry currents in opposite directions. Use the right-hand source and force rules to determine whether the forces on the wires are attractive or repulsive. a)Repulsive b)Attractive If