A town Q is in a bearing of 210° from P,R is another town on a bearing of 150° from P east of Q.The distance between R and P is10km .find the distance between R and Q

  1. 👍
  2. 👎
  3. 👁
  1. If origin of x y axis system at P
    Q is 210 -180 = 30 degrees above -y axis
    R is 90 + 60 degrees or 60 below +x direction from Q
    that means angle PQR is ALSO 30 deg !
    so QR = RP = 10

    1. 👍
    2. 👎
  2. Given: PQ = 210o, PR = 10km[150o], QR = ?.
    210-150 = 60o = Angle between given vectors.

    Law of sine: RQ/sin60 = 10/sin60
    QR = 10*sin60/sin60 = 10 km.

    1. 👍
    2. 👎
  3. Interesting and satisfactory

    1. 👍
    2. 👎
  4. P=60°,Q=60°,R=60°
    PR= ?
    Using sine rules p/sinP= q/sinQ= r/sinR
    P/sin60°= 10/sin60° cross multiply
    After the working
    QR is equal to 10km.

    1. 👍
    2. 👎
  5. can i see the correct answer

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    The populations, P, of six towns with time t in years are given by: I) P=1000(1.08)^t II) P= 600(1.12)^t III) P = 2500(0.9)^t IV) P=1200(1.185)^t V) P=800(0.78)^t VI) P=2000(0.99)^t a. Which towns are growing in size? Which are

  2. Maths

    An aeroplane flies from a town x on a bearing of N45°E o another town y,a distance of then changes course and flies to another town zon a bearing of s60°e.if z is directly east of x,calculate to correct 3significant

  3. mathematics

    a traveler moves from a town p on a bearing of 055degree to another town q 200 km away, he then moves from q on a bearing of 155degree to another town r 400km from q.find the distance between p and r,bearing of p from r correct to

  4. Math

    A traveller moves from town p on a bearing of 055 degree to a town q 200km away.he then moves from q on a bearing of 155 degree tn a town r 400km from q.find A.distance between p and r B.bearing of p from r,correct to the nearest

  1. math

    Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?

  2. math help

    At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 are from

  3. Math

    An aeroplane flies from town A(20°N,60°E) to townB (20°N,20°E) if the journey takes 6 hours Calculate correct to 3 significant figures, the average speed of the aeroplane If it then flies due north from town B to town C 420km

  4. Mathematics

    The bearing of a town Q from a town P is 045. Find the bearing of P from Q

  1. math

    A town Q is on a bearing of 210 degree from p,r is another on a Bearing of 150 degree from P is cast Q. The distance between R and P is 100m, find the distance between R and Q.

  2. Physics

    Town A lies 20 km north of town B. Town C lies 13 km west of town A. A small plane flies directly from town B to town C. What is the displacement of the plane. Please explain how you got the answer

  3. Maths

    An aeroplane flies from a town X on a bearing of N 45 degree E to another a town Y on a distance of then changes course and flies to another town Z on a bearing of S 60 degree E.if Z is directly east of X.Calculate (a)

  4. Algebra

    A business owner opens one store in town A. The equation p(x)=10,000(1.075)^t represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to

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