Question

Find a in degrees. √58 3 7 α

Answer 1

Answer:

23.20

Step-by-step explanation:

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Answer 2

Answer:

α ≈ 23.20°

Step-by-step explanation:

given all 3 sides of the triangle , then any of the trig ratios may be used, that is sine, cosine or tangent to find α

tanα = $\frac{opposite}{adjacent}$ = $\frac{3}{7}$ , then

α = $tan^{-1}$ ( $\frac{3}{7}$ ) ≈ 23.20° ( to the nearest hundredth )

or

sinα = $\frac{opposite}{hypotenuse}$ = $\frac{3}{\sqrt{58} }$ , then

α = $sin^{-1}$ ( $\frac{3}{\sqrt{58} }$ ) ≈ 23.20° ( to the nearest hundredth )

or

cosα = $\frac{adjacent}{hypotenuse}$ = $\frac{7}{\sqrt{58} }$ , then

α = $cos^{-1}$ ( $\frac{7}{\sqrt{58} }$ ) ≈ 23.20° ( to the nearest hundredth )