Using the illustration below, solve for what is being asked.
a. x = 24 m; y = 30 m; <X = __
b. x = 10 m; z = 20 m; <X = __
c. z = 15 m; y = 10 m; <X =__
d. <X = 60o; y = 30 m; x =__
e. <X = 42o; x = 30 m; z = __
Nonsense Answer will be reported.
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Answer:
a.tan X=x/y=26/30=4/5=0.8
{tangent formula}
<=tan^-1(o.8)
=3 °
b.sin X=x/z=10/20=1/2
{sine formula}
<x=30°
c.cos X=y/z=10/15=2/3
{cosine formula}
<x=cos^-1 (2/3)
=48°
d.<x=bo° , y=30m
so tanbo°=x/y=x/30
so x=√3×30=30√3m
e.<x=42° , x=30m
so sin 42°=x/z=30m/z
so z=30m/sin 42°=45m