Solve for x and round to the nearest tenth

x = 6.0

Step-by-step explanation:

Given:

Line AB is the hypotenuse

50.1 degrees is an angle

90 degrees is a right angle

Line CB is x and is opposite to the 50.1 degree angle

Line AC is 5 and is adjacent to the 50.1 degree angle

We know we have angles of 50.1 degrees and 90 degrees

We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees

Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj

We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj

tan(50.1) = x/5

x = 5.9979

or

tan(angle) = opp/adj

tan(39.9) = 5/x

x = 5.9979

Round to the nearest tenth:

x = 6.0

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