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In ARST, the measure of ZT=90°, the measure of ZR=54°, and TR = 27 feet. Find the
length of RS to the nearest tenth of a foot.
S
X
54°
T
R
27
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olayemiolakunle65

Answer:

RS = 45.9 feet

Step-by-step explanation:

Let the length of RS be represented by x. In the given triangle applying the required trigonometric function, we have;

Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Cos 54 = [tex]\frac{27}{x}[/tex]

⇒ x = [tex]\frac{27}{Cos 54}[/tex]

      = [tex]\frac{27}{0.5878}[/tex]

x = 45.9340

x = 45.9 feet.

The length of RS in the given triangle is 45.9 feet.

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