In a right-angled triangle PKT, the angle is T 90 ‘, PT is seven roots out of three, KT is 7cm, KP is 14 cm.Find the angle K.

The simplest solution to this problem is to use the cosine formula. Because the triangle is right-angled, the cosine of the desired (PKT) angle is equal to the ratio of the adjacent leg (TK = 7) to the hypotenuse (PK = 14). Using this formula, we get a cosine equal to 7/14 = 1/2. Then we look at the trigonometric table and find that the cosine of 60 ° is 1/2, which is exactly what suits us.
Answer: 60 °.