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find st. right triangle rst with right angle at r, rt = 4.4, angle at s…

Question

find st.

right triangle rst with right angle at r, rt = 4.4, angle at s is 29 degrees.

write your answer as an integer or as a decimal rounded to the nearest tenth.
st =
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Explanation:

Step1: Identify angle and adjacent side

$\angle S = 29^\circ$, adjacent side $RT = 4.4$

Step2: Use tangent function

$\tan(29^\circ) = \frac{RT}{ST} \Rightarrow ST = \frac{RT}{\tan(29^\circ)}$

Step3: Calculate value

$\tan(29^\circ) \approx 0.5543$, so $ST \approx \frac{4.4}{0.5543} \approx 8.1$

Answer:

8.1