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## 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 centime

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

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Mathematics
3 years
2021-07-25T19:34:00+00:00
2021-07-25T19:34:00+00:00 2 Answers
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## Answers ( )

Answer:

d

Step-by-step explanation:

edge2020-2021

Answer:sin−1(StartFraction 8.9 Over 10.9 EndFraction) = xStep-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