In a right-angled triangle ABC, the angle is C = 90 degrees. The BC leg is 2 times less than the hypotenuse.

In a right-angled triangle ABC, the angle is C = 90 degrees. The BC leg is 2 times less than the hypotenuse. What is the degree measure of the angle opposite this leg?

Let the length of the hypotenuse AB be equal to X cm, then, by condition, the length of the leg BC = AB / 2 = X / 2.

The sine of an acute angle of a right triangle is the ratio of the adjacent leg to the hypotenuse of the triangle.

SinCAB = BC / AB = (X / 2) / X = 1/2.

Angle CAB = Arcsin (1/2) = 30.

Answer: The CAB angle is 30.