In a right-angled triangle, the hypotenuse is exactly 30 cm, and the sine of one

In a right-angled triangle, the hypotenuse is exactly 30 cm, and the sine of one of the acute angles is 0.5. What is the leg opposite to this angle?

The sine of an acute angle in a right-angled triangle is equal to the ratio of the opposite leg to the hypotenuse. Let’s solve the problem using the equation, where:

x – leg opposite to the known acute angle;

Let’s compose and solve the equation, knowing the sine of the angle:

x / 30 = 0.5;

x = 30 * 0.5;

x = 15 cm.

Answer: 15 cm



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