Question

A right triangle is given. What is the value of the angle theta?

A. 54.3°
B. 35.6°
C. 33.4°
D. 30.3°

Answer 1

Check the picture below.

`\cos(\theta )=\cfrac{\stackrel{adjacent}{7}}{\underset{hypotenuse}{12}} \implies \cos^(-1)(~~\cos( \theta )~~) =\cos^(-1)\left( \cfrac{7}{12} \right) \\\\\\ \theta =\cos^(-1)\left( \cfrac{7}{12} \right)\implies \theta \approx 54.3^o`

Make sure your calculator is in Degree mode.