Answered

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In the triangle below,
y = [ ? ]°. Round to the nearest
tenth.
ly
8 cm
90°
X
10 cm
I
Enter

In The Triangle Below Y Round To The Nearest Tenth Ly 8 Cm 90 X 10 Cm I Enter class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.

Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:

  Tan = Opposite/Adjacent

  tan(y) = (10 cm)/(8 cm) = 1.25

Then the angle is found from the inverse tangent function:

  y = arctan(1.25)

  y ≈ 51.3°

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