Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines

we have

substitute





step 2
Find the measure of angle A
Applying the law of sines

substitute the given values

solve for sin(A)



step 3
Find the measure of angle B
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values



Answer:
You should use a calculator my friend.
5.19cm
Step-by-step explanation:
draw perpendicular from the center of the circle to produce a right angle triangle which will have 3cm and an angle of 30 degrees. use tan to find the adjacent line which is the length of the tangent.
Answer:
9.5 feet
Step-by-step explanation:
So let's review the equations we need to know.
Circumference= π x d or π x 2r
Since we are solving for r, let's stick with the 2nd one.
Next, plug in the values.
59.66=3.14 x 2r
simplify.
59.66=6.28r
9.5=r
done!
the radius is 9.5 feet!