achery22189 achery22189
  • 08-05-2020
  • Mathematics
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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.

Respuesta :

theresavante theresavante
  • 13-05-2020

Answer:

52

Step-by-step explanation:

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Newton9022 Newton9022
  • 13-05-2020

Answer:

52 degrees

Step-by-step explanation:

In Triangle STU,

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

From Trigonometric ratio

[tex]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)[/tex]

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