math

A girl starts from point A and walks 285m to B on a bearing of 078.She then walks due south to a point C which is 307m from A. What is the bearing of A from C,and what is {BC}?

please i need the answer urgent ooo it is an assignment pls help me fast

  1. 👍 0
  2. 👎 2
  3. 👁 925
  1. the girls walks on a heading, not a bearing.

    B's bearing from A is 78°

    If A is at (0,0), then B is at (279,59)

    If we mark point D due east of A, on the line BC, then D is at (279,0)

    Now, if angle DAC is θ, then

    cosθ = 279/307
    θ = 25°

    So, A's bearing from C is 270+25 = 295°

    BC = 59+279sin25° = 177m

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

    asked by Bright ulubi on March 28, 2016
  2. Mathematics

    A girl walks 800meters on a bearing of 129degrees calculate how far east and south is from her starting point

    asked by Mary on June 28, 2020
  3. math

    a student walks 50m on a bearing 025 and then 200m due east.how far is she from her starting point

    asked by favour on February 25, 2017
  4. Mathematics

    1.the bearing of p from q is N56°E, calculate the bearing of q from p 2.if the bearing from abuja to kano is N48°W,find the bearing of kano to abuja 3.the bearing of a position to R is295°, find the bearing of R From the point

    asked by Nuella on June 15, 2020
  5. Mathematics

    An aeroplane flies from point A from N 60° E to another point B, a distance if 200km. It then change it point to another town C on a bearing of S 40° E. If C is directly cast of A, Calculate, distance from A to C, distance from

    asked by Daniel on June 7, 2020
  1. Mathematics

    A man traveled from point A to point B at a bearing of 60 degress from point A, calculate the bearing of point A from point B

    asked by Grace on June 25, 2020
  2. Math

    A girl starts from a point A and walks 285m to B on a bearing of 078°, she then walks due south to a point c which is 307m from A. What is the bearing of A from C, and what is /BC/

    asked by Anonymous on April 18, 2019
  3. maths

    A girl walks 50m on a bearing 025° and then 200m due east.How far is she from her starting point

    asked by vannessa on April 22, 2016
  4. Trigonometry

    Surveying A surveyor wishes to find the distance across a swamp. The bearing from A to B (Segment AB is opposite side of triangle) is N 32° W. The surveyor walks 50 meters from A to C, and at the point C the bearing to B is N

    asked by AwesomeGuy on February 4, 2013
  5. physics

    A cyclist starts from point X and rides 3 km due west to point Y. At Y he changes direction and rides 5km north-west to point Z. (a) hw far is he from the starting point, correct to the nearest km? Find the bearing of the Z frm X

    asked by Anonymous on March 11, 2012

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