In ΔABC, c = 40 inches, a = 85 inches and ∠B=29°. Find ∠C, to the nearest degree.

To find ∠C in ΔABC, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

The formula for the Law of Sines is:

a/sinA = b/sinB = c/sinC

We know the values of a, c, and ∠B, so we can substitute those into the formula:

85/sinC = 40/sin29°

To solve for sinC, we rearrange the equation:

sinC = 85*sin29°/40

Calculate the value of sinC using a calculator.

Then, to find ∠C, take the inverse sine (sin^-1) of the value you found for sinC.

Round your answer to the nearest degree.