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salantis [7]
3 years ago
14

In ΔSTU, the measure of ∠U=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ∠T to the nearest degree.

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

52

Step-by-step explanation:

UkoKoshka [18]3 years ago
5 0

Answer:

52 degrees

Step-by-step explanation:

In Triangle STU,

∠U=90°, US = 7.4 feet, and ST = 9.4 feet.

From Trigonometric ratio

Sin T =\dfrac{|SU|}{|ST|}\\Sin T =\dfrac{7.4}{9.4} \\T=arcsin\left(\dfrac{7.4}{9.4}\right)=51.9^\circ\\T=52^\circ $(to the nearest degree)

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