Solve each right triangle. Round answers to the nearest tenth.

angle B = 43°

side c = 12.31

side b = 8.40

Step-by-step explanation:

Solve for angle B:

sum of angles in a triangle = 180°

180 - (47+90) = 43°

Solve for side c:

sin(47) = opposite/hypotenuse

sin(47) = 9/c

.731 = 9/c

c = 12.31

Solve for side b:

a^2+b^2 = c^2

9^2 + b^2 = 12.31^2

81 + b^2 = 151.54

b = 8.40

828. all there is to it!

here, if you ever need with rounding (or other forms of arithmetic/math) again, use this:

thats the rounding one, but if you just click the top left, it shows you all the calculators you may need!

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.