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In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest tenth of a foot.

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okpalawalter8

Answer:

[tex]x=6.183ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angel of side [tex]T=90[/tex]

Angel of side [tex]R=82[/tex]

Length Side [tex]TR=44[/tex]

Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by

Since Angle in Triangle =180 therefore

 [tex]\theta=180-(90+82)[/tex]

 [tex]\theta=8[/tex]

Therefore Applying sine rule to get Length of ST x

 [tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]

 [tex]x=\frac{44}{sin82}*sin8[/tex]

 [tex]x=6.183ft[/tex]

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