Question

Find x. Round your answer to the nearest tenth of a degree. X 11 8

Answer 1

Answer:

  46.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides and angles in a right triangle.

Sine

Here, the side lengths given are the hypotenuse (11) and the side opposite the angle (8). The mnemonic reminds you the relation involving those sides is ...

  Sin = Opposite/Hypotenuse

Applying this to the given triangle, you have ...

  sin(x) = 8/11

Angle

The angle is found using the inverse sine function. This may be called the sin⁻¹ function on your calculator. It is also referred to as the arcsine function.

  x = arcsin(8/11) ≈ 46.658°

  x ≈ 46.7°

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Additional comment

The attachment shows a calculator making this computation. The angle mode is set to "Degrees", as indicated in the lower left corner.