Find x. Round your answer to the nearest tenth of a degree. X 11 8
1 answer:
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.
<h3>Sine</h3>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°
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<em>Additional comment</em>
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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