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A rock, R, is 40 km from a harbour, H, on a bearing of 040°. A port, P, is 30 km from R on a
bearing of 130°.

Draw a sketch showing the points H, R and P and work out the size of angle HRP.

  • Maths - ,

    I hope you made the sketch.
    I have a nice right-angled triangle HRP
    with angle R = 90° , HR = 40, RP = 30

  • Maths - ,

    Thanks.

    Could you tell me the angles for H and P

    R= 90
    H= ?
    p = ?

  • Maths - ,

    use simple trig

    for angle H
    tanH = opposite/adjacent
    = 30/40 = .75
    angle H = appr.36.9°
    then by simple subraction, angle P = 90-36.9 = 53.1°

    use 2nd Tan on your calculator
    (tan inverse or arctan, depending on your calculator
    on mine I do:

    2ndF
    tan
    .75
    =

    to get 36.869...

  • Maths - ,

    Thanks.

  • Maths - ,

    Can you tell me the bearing of P from H?

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