trigonometry grade 11

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Brit and Tara are standing 13.5 m apart on a dock when they observe a
sailboat moving parallel to the dock. When the boat is equidistant between
both girls, the angle of elevation to the top of its 8.0 m mast is for both
observers. Describe how you would calculate the angle, to the nearest degree,between Tara and the boat as viewed from Brit’s position. Justify your reasoning with calculations.

  • trigonometry grade 11 -

    I THINK I DREW THE DIAGRAM BUT I'M NOT GETTING THE RIGHT ANSWER WHICH IS 47 DEGREES

  • trigonometry grade 11 -

    Draw a hor. line and label it ABC with
    B being the mid-point of the line. Draw
    a ver line to point B and label the top
    of the ver line point D. Draw a line from A to D and from C to D. We have
    formed 2 congruent rt triangles with a
    common ver side.

    AB = BC = 13.75/2 = 6.75m.

    BD = 8m.

    tanA = BD/AB = 8/6.75 = 1.1852,
    A = 50 Deg. = Angle of elevation.

  • trigonometry grade 11 -

    i tried draw it your way and got 49 degrees. But i think we have to draw a 3

  • trigonometry grade 11 -

    i meant i think we have to draw a 3D image of the triangle
    the way you told me, i tried to do it and got a two congruent trianlges makin a 90 degrees angle

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