Question

Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is 8.9 centimeters. Angle L K J is x.
Which equation can be used to find the measure of angle LKJ?

cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Answers

  2. Answer:

    sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

    Step-by-step explanation:

    From the given triangle JKL;

    Hypotenuse KJ = 10.9

    Length LJ is the opposite = 8.9cm

    The angle LKJ is the angle opposite to side KJ = x

    Using the SOH CAH TOA Identity;

    sin theta = opp/hyp

    sin LKJ = LJ/KJ

    Sinx = 8.9/10.9

    x = arcsin(8.9/10.9)

    sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

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