Checkpoint 3 ? Finding Angles & Elevation/Depression

1 Easy If $\sin\theta = 0.5$, then $\theta = \sin^{-1}(0.5) =$

2 Easy In a right triangle the side opposite the angle is $3$ cm and the hypotenuse is $5$ cm. The angle is $\sin^{-1}(3/5) =$

3 Medium The side opposite the angle is $8$ cm and the adjacent side is $6$ cm. The angle is $\tan^{-1}(8/6) =$

4 Medium The side adjacent to the angle is $7$ cm and the hypotenuse is $10$ cm. The angle is $\cos^{-1}(7/10) =$

5 Hard A tower is $50$ m tall. From a point $80$ m from its base on level ground, the angle of elevation to the top is $\tan^{-1}(50/80) =$

6 Hard From the top of a $40$ m cliff, a boat is $100$ m from the base (measured horizontally). The angle of depression to the boat is $\tan^{-1}(40/100) =$