trigonometry grade 11

posted by anonymous

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.

  1. anonymous

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

  2. Henry

    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.

  3. Anonymous

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

  4. Anonymous

    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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