In a 30 degree-60 degree right triangle, the opposite the 60 degree angle is 15.7 inches. Find the length of the hypotenuse. Round to the nearest tenth if necessary.

sine60=15.7/h

h=15.7/sin60= 15.7/.866

i must be 310.4 because its bigger than the first answer.

To find the length of the hypotenuse in a 30-60 right triangle, you can use the trigonometric ratio called the sine function. The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In this case, the sine of the 60 degree angle can be expressed as sin(60°) = opposite/hypotenuse. We are given that the opposite side is 15.7 inches, so we can substitute this value into the equation:

sin(60°) = 15.7/hypotenuse

To solve for the length of the hypotenuse, we can rearrange the equation as:

hypotenuse = 15.7 / sin(60°)

To find the value of sin(60°), you can use a trigonometric table or a calculator. The sine of 60 degrees is approximately 0.866.

Now we can substitute this value into the equation:

hypotenuse = 15.7 / 0.866

Calculating this expression, we find that the length of the hypotenuse is approximately 18.1 inches. Therefore, rounding to the nearest tenth, the length of the hypotenuse is 18.1 inches.