Math

bearing of a tower are taken from two points.A and B 250m apart along a straight north-south path, A being due north of B. the bearing of the tower from A and B are 140* and 110* respectively. what is the distance from A and B to the tower.

  1. 👍
  2. 👎
  3. 👁
  1. I see a triangle ABT, with AB = 250, angle BAT = 40° and angle ABT = 110° making angle T = 30°

    By the Sine Law
    From B to T
    BT/sin40 = 250/sin 30
    BT = 250sin40/sin30 = 321.39 m

    find AT the same way.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre-Calculus

    I need help with this problem: The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 degrees E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80

  2. Math

    The bearing of x from y is 070 and the bearing of z from y is 160, where x, y, and z are three points in the plane .if y is equidistant from x and z, find the bearing of z from x

  3. math

    A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the

  4. kelvin

    P,Q and R are points on the same horizontal plane .the bearing of Q from P is 150° and the bearing of R from Q is 060°. if |PQ| =5m and |QR|=3m find the bearing of R from P correct your answer to the nearest degree

  1. math

    A plane flying a straight course observes a mountain at a bearing of 32.6° to the right of its course. At that time the plane is 6 km from the mountain. A short time later, the bearing to the mountain becomes 42.6°. How far is

  2. Math

    Points L and M are equidistant from another K. The bearing of L from K is 330 degree. The bearing of M from K is 220 degree. Calculate the bearing of M from L.

  3. mathematics

    Cand D are two observation posts on the same horizontal ground at the foot A of a vertical tower AB.the tower is 18m due north of D and 24m east of C.the angle of elevation of B from D is 35¡ã.calculate to three s.f the height

  4. trig/precalc

    a plane flies 810 miles form Franklin to Centerville with a bearing of 75 degrees (clockwise from north). then it flies 648 miles from centerville to rosemont with a bearing of 32 degrees. find the straight-line distance and

  1. MATH

    A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of 5 degrees. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet

  2. Trigonometry

    Points A and B 1000 meter apart are plotted on a straight highway running east and west. from A, the bearing of tower C is N32*W and from be, the bearing of C is N64*E. approximate the shortest distance of the tower from the

  3. Grade 11 Math

    I have two questions two forest fire towers, A and B are 20.3km apart. From tower A, the bearing of tower B is 70 degrees. The ranger in each tower observes a fire and radios the bearing from the tower. the bearing from tower A is

  4. Principles of Math 11

    A ranger in fire tower A spots a fire at a bearingof 295 degrees.A ranger in fire tower B located 45 miles at a bearing of 45 degrees from tower A spots the same fire at a bearing of 255 degrees. How far away from tower A is the

You can view more similar questions or ask a new question.