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In the right triangle shown below, the length of AB is 8 units, ¡ÏA measures 60¡ã, sin 60¡ã ¡Ö 0.866,

cos 60¡ã ¡Ö 0.5, and tan 60¡ã ¡Ö 1.73. Approximately how many units long is BC , to the nearest
hundredth of a unit?
A. 4.00

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3 answers

  1. Since you posted this twice, I think you realized that the symbols did not come out like you intended.

    I think you meant this:
    AB = 8, angle A = 60°
    then you are given
    sin60° = .866
    cos60° = .5
    tan60° = 1.73

    the problem is that we don't know where the 90° angle is, could be at C or at B
    If angle B = 90°
    then
    BC/8 = tan60
    BC = 8tan60 = 8(1.732) = appr 13.86

    if angle C = 90°
    then
    BC/8 = sin60
    BC = 8sin60 = 8(.866) = appr 6.93

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  2. If it helps the answer according to this ACT compass sample test questions print out is 6.93.
    How to solve it is the question ...
    C is a 90 degree angle.
    AB is 8 and the hypotenuse.
    AC is the base .... we don't know it's length.

    It's on page 14 if you google this -
    2014 ACT In the right triangle shown below, the length of AB is 8 units

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  3. 6.93

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