Question

a triangle has angle measures of 40°, 59°, and 81°. the side opposite the 40° angle is 11 centimeters long. find the length of the side opposite the 81° angle to the nearest centimeter

Answer 1

We can use the Law of Sines to solve this, which states that
`(sinA)/(a) = (sinB)/(b) = (sinC)/(c)`. We can name the triangle like the one below to see that
`(11)/(sin40) = (b)/(sin81)`. We move the 11 up to sin81 to get that
`(11sin81)/(sin40)`, which simplifies to 17 (rounded).

:)