trigonometry

posted by .

Towers A and B are on the east-west line 125 m apart. Jojo, on the north of that line finds that the direction of towers A and B are N 39deg27mins E and N 50deg33mins W, respectively. How far is Jojo from each tower?

  • trigonometry -

    I cannot make any sense of your description.
    Jojo would have to be on the south side of line AB
    Check it please

  • trigonometry -

    Assuming that north was a typo, leaving Jojo on the south side of AB,

    Let Jojo be h mi S of the line AB.

    h tan 50°33' + h tan 39°27' = 125
    1.215h + 0.823h = 125
    h = 125/2.038 = 61.335 mi

    Now, letting b be the distance from B, and a that from A,

    b = h/cos 50°33' = 61.335/0.635 = 96.59 mi
    a = h/cos 39°27' = 61.335/0.772 = 79.45 mi

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. cardinal directions

    what is the difference between Northeast and North of East or East of North. Same with Northwest, what's North of West or West of North?
  2. trigonometry

    Radio direction finders asre set up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a signal from a transmitter is N 54.3degE, while from B it is N 35.7degW. Find the distance of the transmitter …
  3. Math

    Two fire towers are 30 kilometers apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14 degrees N and W 34 degrees N, respectively. Find the distance d of the fire from …
  4. maths

    At the beginning of a race, a yacht crosses the start line and sails in westerly direction at a speed of 4 m s-1. The current of the sea is flowing at 2 m s-1 towards the north-east. Calculate how far [8 marks] and in what direction …
  5. physics

    A wind is blowing directly from east to west. The pilot of a small plane finds that if he points the nose of the plane 30.0 ° north of east, his velocity with respect to the ground is in the direction 55.1 ° north of east. The speed …
  6. Trigonometry

    Two fire towers are 30 km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14° N and W 34° N, respectively. Find the distance d of the fire from the line segment AB.
  7. Math

    Two towers P and Q are 600m apart with P being due east of Q. A church is on a bearing of 210 degrees from P and 125 degrees from Q. Find the distance of the church from P and Q.
  8. Math-SineLaw

    Fire lookout towers are used to locate fires so they can be put out as soon as possible. These towers often work in networks and if two towers can see a fire at the same time, they can determine the location of the fire vey accurately. …
  9. physics

    A spelunker is surveying a cave. She follows a passage 140 m straight west, then 250 m in a direction 45∘ east of south, and then 280 m at 30∘ east of north. After a fourth unmeasured displacement, she finds herself back …
  10. Maths

    There are 2 towers that are each 10m high.  A rope that is 15m long is strung between the tops of the towers.  At its lowest point the rope sags 2.5m above the ground (see schematic diagram).  How far apart are the towers?

More Similar Questions