Maths-
SAT
Easy

Question


In the right triangle above, sin θ = 2 over 5. If A C equals square root of n, what is the value of n ?

The correct answer is: 84


    sin theta equals fraction numerator B C over denominator A B end fraction equals 2 over 5 rightwards double arrow fraction numerator B C over denominator 10 end fraction equals 2 over 5 rightwards double arrow B C equals 4
    Pythagoras theorem rightwards double arrow A B squared minus A C squared plus B C squared
    100 = AC2 + 42
    100 = n + 16
    n = 84.

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