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

Mathematics

1 answer:

Inessa05 [86]1 year ago

6 0

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.

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

<h3>Angle</h3>

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°

Additional comment

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

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