In ∆XYZ, measure of angle X = 58˚, x = 9.3, and z = 7.5. How do you find the measure of angle Z?

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Answer 1 · 2015-11-15T13:35:09

#Z = 0.93^o#

Using the sine rule #a/SinA =b/SinB = c/SinC#

That means #x/SinX = y/SinY = z/SinZ#

#9.3/Sin58 = 7.5/SinZ#

#SinZ times 9.3 = 7.5 times Sin58#

#SinZ = (7.5 times Sin58)/9.3#

#SinZ = 0.8007#

#Z = sin^-1 (0.8007) = 0.9284#

#Z = 0.93^o#