Question

Find m∠C. please help

Answer 1

Answer: 16.991°

Explanation:

Used a triangle calculator hope this helped!

Answer 2

The measure of m∠C is approximately 31.6 degrees.

The triangle in the image is a right triangle, with a right angle at ∠B. We know the length of the two legs of the triangle: 18 inches for AC and 12 inches for BC.

We can use the Pythagorean theorem to solve for the length of the hypotenuse, AB.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. In this case, we have:

`AB^2 = AC^2 + BC^2`

`AB^2 = 18^2 + 12^2`

`AB^2`= 324 + 144

`AB^2`= 468

AB = √468

AB ≈ 21.6 inches

Once we know the length of the hypotenuse, we can use the inverse sine function (
`sin^-^1` or arcsin) to find the measure of angle ∠C. The sine of an angle is equal to the opposite leg divided by the hypotenuse. In this case, we have:

sin ∠C = BC / AB

sin ∠C = 12 inches / 21.6 inches

∠C =
`sin^-^1` (12/21.6)

∠C ≈ 31.6°

Therefore, the measure of m∠C is approximately 31.6 degrees.