Question

Find the measure of the missing angle *

Answer 1

≈ 49.9° and ≈ 71.0°

Explanation:

Using the sine ratio in the right triangle

sin? =
`(opposite)/(hypotenuse)` =
`(13)/(17)` , then

? =
`sin^(-1)` (
`(13)/(17)` ) ≈ 49.9° ( to the nearest tenth )

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Using the cosine ratio in the right triangle

cos? =
`(adjacent)/(hypotenuse)` =
`(14)/(43)` , then

? =
`cos^(-1)` (
`(14)/(43)` ) ≈ 71.0° ( to the nearest tenth )