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An artist makes a structure in the shape of this given triangle.



What is the measure of angle θ ?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.

An artist makes a structure in the shape of this given triangle What is the measure of angle θ Enter your answer as a decimal rounded to the nearest tenth in th class=

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ANSWER

[tex] \theta =73.2 \degree[/tex]


EXPLANATION

We use the sine rule to obtain,

[tex] \frac{ \sin( \theta) }{4} = \frac{ \sin(50 \degree) }{3.2} [/tex]

We multiply both sides by 4 to obtain,


[tex] \sin( \theta) = \frac{ \sin(50 \degree) }{3.2} \times 4[/tex]
We take the inverse sine of both sides to get,


[tex] \theta = \sin ^{ - 1} (0.9576) [/tex]
[tex] \theta =73.2[/tex]
to the nearest tenth.

Answer:Just confirming 73.2

Step-by-step explanation:

I just took the test

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