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2 April, 00:42

In triangle ABC, ZA and B are complementary, where cos A = 0.5.

What is the measure, in degrees, of B?

degrees

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Answers (1)
  1. 2 April, 01:01
    0
    Answer: Angle B measures 30 degrees.

    Step-by-step explanation: First of all, angles A and B are complimentary, which means they both add up to 90. Also the cosine of angle A has been given as 0.5

    The value in degrees, of an angle whose cosine is 0.5000 is equal to 60 degrees (this can be verified with a table of values, or by checking the second function Cosine of a calculator).

    Where angle A has been determined to be 60 degrees and angles A and B are complimentary, angle B is derived as follows;

    Angle A + Angle B = 90 {Complimentary angles equal 90}

    60 + Angle B = 90

    Subtract 60 from both sides of the equation

    Angle B = 30 degrees
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