Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1​

5,1

Step-by-step explanation:

x= tan27⁰ x 10 ≈ 5,1

b or c or 5.1

Step-by-step explanation:

The basic trig identity that does not involve the hypotenuse is the Tan(theta).

Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.

The opposite side is the one not making up the reference angle (x in this case).

The adjacent side is the one making up the angle that is not the hypotenuse.

opposite side = x

adjacent side = 10

theta = 27 degrees.

Tan(theta) = opposite / adjacent

Tan(27) = x / 10

Tan(27) = 0.5095

0.5095 = x / 10               Multiply by 10

10*0.5095 = x

x = 5.095

It rounds to 5.1

No one except the answer key can know whether to choose b or c.

89

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