Question

a triangle brace has an angle measure of 92 degrees, with a side opposite this angle measuring 10 inches. the base of the triangular brace, which is adjacent to the given angle measure, is 12 inches in length. Which of the following statements is correct

Answer 1

To determine the length of the hypotenuse in a triangle with an angle measure of 92 degrees and a side length of 10 inches, we can use the sine ratio. Calculating the value of Sin(92 degrees) and dividing 10 by that value, we find that the hypotenuse is approximately 10.001525 inches.

Step-by-step explanation:

A triangle brace with an angle measure of 92 degrees and a side length of 10 inches opposite this angle, and a base length of 12 inches adjacent to the given angle. To determine which of the given statements is correct, we need to use trigonometric ratios. We can use the sine ratio in this case.

The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. In this case, the angle measure is 92 degrees and the side opposite is 10 inches. Let's calculate:

Sin(92 degrees) = Opposite/Hypotenuse

Sin(92 degrees) = 10/Hypotenuse

To solve for the hypotenuse, we can rearrange the equation:

Hypotenuse = 10/Sin(92 degrees)

Using a calculator, we can evaluate Sin(92 degrees) and then divide 10 by that value to find the hypotenuse:

Hypotenuse = 10/0.9998477 = 10.001525 inches (approximately)

Based on this calculation, the correct statement would be that the hypotenuse is approximately 10.001525 inches.

Answer 2

You did not add in your following statements.