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27 January, 08:04

In △ABC, m∠B = 45, a = 24 ft, and c = 30 ft. Find b. Round your answer to the nearest tenth.

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  1. 27 January, 11:06
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    To get the value of b we use the cosine rule:

    c²=a²+b²-2ab Cos C

    in our situation the formula will be:

    b²=a²+c²-2ac Cos B

    thus plugging our values we shall have:

    b²=24²+30²-2*24*30*Cos45

    b²=457.76624

    b=21.3955~21.4 ft

    Answer: 21.4 ft
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