Find the measure of the indicated angle to the nearest degree​

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

Let the angle we want to find be . 's adjacent side is 49 and the hypotenuse of the triangle is 52.

Therefore, we have the equation:

Take the inverse cosine of both sides:

Simplify using :

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by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8