Problem

In a right triangle, one of the angles is 30 degrees and the length of the hypotenuse is 10 units. What is the length of the side opposite to the 30 degree angle?

Answer

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Answer

Rearranging the equation, we get \(opposite = 0.5 * 10\)

Steps

Step 1 ：We know that in right triangle trigonometry, the sine of an angle is defined as the length of the side opposite to the angle divided by the length of the hypotenuse.

Step 2 ：Therefore, we have \(\sin(30^\circ) = \frac{opposite}{hypotenuse}\)

Step 3 ：Substituting the given values, we get \(\sin(30^\circ) = \frac{opposite}{10}\)

Step 4 ：Since \(\sin(30^\circ) = 0.5\), we can solve for the unknown: \(0.5 = \frac{opposite}{10}\)

Step 5 ：Rearranging the equation, we get \(opposite = 0.5 * 10\)

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