Mathematics

Sketched this Bearing
A survey leaves a base camp and drives 42km on a bearing of 032 degree, she then drive 28km on a bearing, if 154 degree. How far is she from her base?

  1. 👍
  2. 👎
  3. 👁
  1. You take a bearing. You travel on a heading.
    DRAW THIS !!!
    call starting point A
    second point B at 32 deg from north toward east, 42 km
    third Point C at 180 - 154 = 26 deg from south toward east
    so Angle ABC at B is 32 + 26 = 58 deg
    now we have angle of 58 deg between triangle lengths of 42 and 28
    That is law of cosines to find the third side.
    b^2 = a^2 + c^2 - 2 a c cos 58
    b^2 = 28^2 + 42^2 - 2 * 28 * 42 * 0.53
    solve for b

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A ship leaves port and travels 21km on a bearing of o32 degrees and then 45km on a bearing of 287 degrees. a. calculate its distance from the port. b. calculate the bearing of the port from the ship

  2. Maths

    A ship leaves a port and travels 21km on a bearing of 32 and then 45km on a bearing of 287 calculate its distance from the port and the bearing of the port from the ship

  3. Mathematics

    An aeroplane leaves an airport A and flies on a bearing 035°for 1.5 hours at 600km/hr to airport B It then flies on a bearing 130° for 1.5hours at 400km per hour to an airport C calculate the distance from C to A and the bearing

  4. Mathematics

    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 P is 060°. If /PQ/=5m and /QR/=3m a.) Sketch the diagram b.) Find the bearing of R from P, correct to the nearest

  1. 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

  2. Mathematics

    The bearing of Q from P is 250 and the bearing of r from Q is 160. If q is equidistant from p and r, find the bearing of r from p

  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

    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=5 and QR=3, find the bearing of R from P, correct to the nearest degree.

  1. 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

  2. Maths

    A ship leaves port 21km on a bearing of 032 degree & 45km on a bearing of 287degrees a, calculate it's distance from the port b, calculate the bearing of the port from the ship

  3. Maths

    A ship leaves a port and travels 21 km on a bearing of 032° and then 45 km on a bearing of 287°. (a) calculate it's distance from the port. (b) calculate the bearing of the port from the ship

  4. MATHS

    A ship sails 95 km on a bearing of 140 degree,then a further 102 km on a bearing of 260 degree and then returns directly to its starting point.find the length and bearing of the return journey.

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