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3 years ago

Solve for x. Round your answer to two decimal places. Show your work for full credit.

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

The value for x = 37.80.

Step-by-step explanation:

Here, the given triangle is a right angled triangle.

Also, Ф = 32°

Now, using Trigonometric Function:

$\sin \theta = \frac{Perpendicular}{Hypotenuse}$

⇒ $Sin (32) = \frac{20}{x} \impliesx = \frac{20}{Sin(32)}$

Also, using the trigonometric table,

Sin (32°) = 0.529

⇒ x = 20 / 0.529 = 37.80

Hence, the value for x = 37.80.

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Check the attached image for visual illustration.

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Hitman42 [59]

Notice the picture below

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thus, recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
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\\ \quad \\\\
% tangent
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anyhow.. the one that has only
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the opposite
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is Ms Tangent, so lets ask her some

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\\\\\\
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-----------------------------\\\\
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3 years ago