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find st. write your answer as an integer or as a decimal rounded to the…

Question

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

Explanation:

Step1: Identify cosine relationship

In right $\triangle STU$, $\cos(S) = \frac{ST}{SU}$

Step2: Substitute known values

$\cos(42^\circ) = \frac{ST}{9}$

Step3: Solve for ST

$ST = 9 \times \cos(42^\circ)$
Calculate $\cos(42^\circ) \approx 0.7431$, so $ST \approx 9 \times 0.7431$

Answer:

$6.7$