Find a leg of a right-angled triangle adjacent to an angle of 30 degrees if its hypotenuse is 12 m

From the condition it is known that a right-angled triangle is set at an angle of 30 degrees, as well as a hypotenuse length of 12 meters. And we need to find the leg of a right-angled triangle adjacent to an angle of 30 degrees.

And we will start by recalling the property of the leg, which is opposite to the angle of 30 degrees. Its length is equal to the length of half of the hypotenuse.

Let’s calculate:

12/2 = 6 meters.

And to find the length of the leg adjacent to the angle of 30 degrees, we apply the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the legs.

c ^ 2 = a ^ 2 + b ^ 2;

b = √ (c ^ 2 – a ^ 2) = √ (12 ^ 2 – 6 ^ 2) = √ (144 – 36) = √108 = 2√27 meters.