Answer:
θ = 16.69924423, α = 73.30075577 (round to what problem requests i.e. tenths, hundredths, etc.)
Explanation:
To solve for θ:
We have given measurements, 10 and 3. 3 is opposite of the angle and 10 is adjacent to the angle (we don't use hypotenuse since no measurement is given). Since we have opposite and adjacent, we use tangent, and since we are solving for angle measure, we use tan^-1.
tan^-1 = 3/10
When you input this into the calculator, you should get: 16.69924423
To solve for α:
We have given measurements, 10 and 3. 3 is adjacent of the angle and 10 is opposite to the angle (we don't use hypotenuse since no measurement is given). Since we have opposite and adjacent, we use tangent, and since we are solving for angle measure, we use tan^-1.
tan^-1 = 10/3
When you input this into the calculator, you should get: 73.30075577