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What is the measure of angle A, to the nearest degree?​

What Is The Measure Of Angle A To The Nearest Degree class=

Sagot :

We will solve it using the trigonometric ratio i.e. SOH

[tex] \boxed{ \sf \: \sin( \theta) = \frac{opposite}{hypotenuse} }[/tex]

In our case,

  • Opposite = 20
  • Hypotenuse = 25

[tex] \tt \sin( \theta) = \frac{20}{25} [/tex]

[tex] \tt \sin( \theta) = \frac{4}{5} [/tex]

[tex] \tt \theta = \arcsin( \frac{4}{5} )[/tex]

[tex] \tt \theta = 53.1 \degree[/tex]

  • ∠A = 53° (when rounded off)
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