Find the measure of the missing angle *

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

≈ 49.9° and ≈ 71.0°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = $\frac{opposite}{hypotenuse}$ = $\frac{13}{17}$ , then

? = $sin^{-1}$ ( $\frac{13}{17}$ ) ≈ 49.9° ( to the nearest tenth )

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Using the cosine ratio in the right triangle

cos? = $\frac{adjacent}{hypotenuse}$ = $\frac{14}{43}$ , then

? = $cos^{-1}$ ( $\frac{14}{43}$ ) ≈ 71.0° ( to the nearest tenth )

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