In a right-angled triangle OMH, the hypotenuse MH = 10 Find the leg OM if the cosine of the angle is M = 0.6.

Let us turn to the definition of a trigonometric function, from which it follows that the value of the cosine of any angle of a right triangle can be calculated using the ratio of the adjacent leg to the hypotenuse.

Let us find out what the leg OM adjacent to the angle M will be equal to, if from the condition of the task we know for sure that the cosine of this angle is 0.6, while the hypotenuse of MH is equal to 10 conventional units:

10 * 0.6 = 6.

Answer: Under such initial conditions, the length of the OM side will be equal to 6 conventional units.