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True [87]
1 year ago
7

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.

<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°

__

<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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The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing
tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

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Step-by-step explanation:

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