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Solve the right triangle. Round your answers to the nearest tenth.

Solve The Right Triangle Round Your Answers To The Nearest Tenth class=

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Answer:

Step-by-step explanation:

The sum of the three angles in a triangle is [tex]\ang{180}[/tex].

We know that a right angle is [tex]\ang{90}[/tex], and we are given another angle that is [tex]\ang{50}[/tex], so that means that angle [tex]B[/tex] is:

[tex]B + 50 + 90 = 180[/tex]

[tex]B + 140 = 180[/tex]

[tex]B = 40[/tex]

To find side length [tex]a[/tex], we can use the [tex]sin[/tex] function:

[tex]sin(\ang{50}) = \frac{a}{20}[/tex]

[tex]20 * 0.766 = a[/tex]

[tex]a = 15.32[/tex]

To find side length [tex]b[/tex], we can again use the [tex]sin[/tex] function:

[tex]sin(\ang{40}) = \frac{b}{20}[/tex]

[tex]20 * 0.643= b[/tex]

[tex]b = 12.86[/tex]

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