Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth. The figure is not drawn to scale.

Question

anonymous · Answer

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anonymous · Answer

Use the law of sines.  Sin A / A = sin B / b =  sin C / c where "a" is the side opposite of angle A,  etc.

anonymous · Answer

Since it is a right triangle the the other angles are 90degrees and 70 degrees.

anonymous · Answer

tan 20=10/x
multiply both sides by x
x(tan 20)=10
divide by tan 20
x=10/tan 20
plug it into the calculator and get
27.5

johnweldon1993 · Answer

You have an angle...a side opposite to that angle...and you want the side adjacent to that angle...which trig function uses opposite and adjacent?

as @Tigger25 has shown...it is tan...and that is how you would do it lol...Great Job Tigger25!

anonymous · Answer

something I learned to remember these is Soh-Cah-Toa
The S (sin) of an angle is Opposite over Hypotenuse 
C (cos) is Adjacent over Hypotenuse
and T(tan) is Opposite over Adjacent