SOLUTION: One end of 30.4m long cable is attached to the top of a 22m tall vertical pole. The cable is extended as far as possible from the base of the pole and is attached to the ground. 1

Question 180111: One end of 30.4m long cable is attached to the top of a 22m tall vertical pole. The cable is extended as far as possible from the base of the pole and is attached to the ground.
1. What angle, to the nearest degree, does the cable make with the ground?
2. How high up the pole is the cable a horizontal distance of one meter from the pole?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.)The cable is the hypotenuse of a right triangle (HYP).
The height of the pole is one leg(OPP).
The length from the pole to where the cable touches the ground is the other leg(ADJ).
The angle, A, that the cable makes with the ground has the relation

Angle A is 46.4 degrees.

.
.
.
2.) The length of ADJ can be calculated from the Pythagorean theorem,

If I reduce that distance by 1 m, it would be 19.98.
The angle remains the same.
The new adjacent side is now 19.98.
The new opposite side can be calculated using,

The cable height 1 meter from the pole would be 20.98m.

.
.
.
RELATED QUESTIONS
A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a... (answered by Boreal)

A cable 22 feet long runs from the top of a utility pole to a point on the ground 16 feet (answered by nyc_function)

A cable 38 ft long runs from the top of the utility pole to a point on the ground 23 ft... (answered by Alan3354)

A utility pole is 6 m high. A cable is stretched from the top of the pole to a point in... (answered by ewatrrr)

A utility pole is 8 m high. A cable is stretched from the top of the pole to a point in... (answered by math_tutor2020)

Two vertical poles of lengths 9 feet and 12 feet stand 13 feet apart. A cable reaches... (answered by mananth)

A radio station is going to construct a 12-foot tower for a new antenna. The tower will... (answered by checkley77)

one end of a zip-line cable is attached to the top of a 55-foot pole while the other end... (answered by edjones)

A wire is needed to support a vertical pole 20 feet tall. The cable will be anchored to a (answered by ikleyn)