trig

posted by .

An electric pole is supported to stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 meters from the foot of the pole. The angle that the wire makes the ground is three times the angle it makes with the pole.

  • trig -

    We form a rt. triangle:
    X = 6 meters = Hor.
    Y = Ver. = Dist. from gnd to junction of wire and pole.
    Z = Hyp. = Length of the wire.
    A = Angle bet. gnd and wire.
    B = Angle bet. pole and wire.

    A + B = 90 Deg.
    A = 3B.
    3B + B = 90
    B = 22.5 Deg.
    A = 3B = 3*22.5 = 67.5 Deg.

    Z*cosA = X
    Z = X/cosA = 15.7 m.

    tanA = Y/X = Y/6
    Y = 6*tanA = 6*tan67.5 = 14.5 m.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    A wire is attached to the top of a flag pole. The wire meets the ground 4 meters from the flag pole. The wire makes a 45 degree angle with the flag pole. How tall is the flag pole?
  2. math

    An electric pole is supported to stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 meters from the foot of the pole as shown. The angle that the wire makes the ground is three times the angle …
  3. math

    An electric pole is supported to stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 meters from the foot of the pole. The angle that the wire makes the ground is three times the angle it makes …
  4. trig

    A 52-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened …
  5. trig

    A pole is braced with a wire from the top of a pole to the ground. The wire is 100 feet long and makes an angle of 40° with the ground. Find the height of the pole.
  6. Trig

    A guy wire attached to the top of an electric pole makes a 700 angle with the level ground. At a point 25 feet from the guy wire (farther away from the pole), the angel of elevation to the top of the pole is 420. How long is the guy …
  7. Trig

    A guy wire attached to the top of an electric pole makes a 70deg angle with the level ground. At a point 25 feet from the guy wire (farther away from the pole), the angel of elevation to the top of the pole is 42deg. How long is the …
  8. math

    A flagpole is supported by a wire that is 5m long. The wire is pegged 2.5m from the foot of the pole. Find the height of the pole
  9. Trigonometry

    A vertical pole 35m high, standing on sloping ground is braced by a wire which extends from the top of the pole to a point on the ground 25 m from the foot of the pole. If the pole subtends an angle of 30 degrees at the point where …
  10. trig

    a vertical pole 35 feet high, standing on sloping ground, is braced by a wire which extends from the top of the pole to a point on the ground 25 feet from the foot of the pole. If the pole subtends an angle of 30 degree at the point …

More Similar Questions