Unit 3 Quiz

1 Easy A right triangle has shorter sides $9$ cm and $12$ cm. The hypotenuse is:

2 Easy A right triangle has hypotenuse $17$ cm and one shorter side $8$ cm. The other shorter side is:

3 Easy A right triangle has shorter sides $8$ m and $15$ m. The hypotenuse is:

4 Medium Which set of side lengths forms a right-angled triangle?

5 Medium The angle is $30°$ and the hypotenuse is $14$ cm. The side opposite the angle is $14\sin 30° =$

6 Medium The angle is $50°$ and the hypotenuse is $9$ cm. The side adjacent to the angle is $9\cos 50° =$

7 Medium The angle is $40°$ and the adjacent side is $10$ cm. The side opposite the angle is $10\tan 40° =$

8 Medium The angle is $30°$ and the side opposite it is $6$ cm. The hypotenuse is $6 \div \sin 30° =$

9 Medium The side opposite the angle is $4$ cm and the hypotenuse is $8$ cm. The angle is $\sin^{-1}(4/8) =$

10 Hard The side opposite the angle is $5$ cm and the adjacent side is $12$ cm. The angle is $\tan^{-1}(5/12) =$

11 Hard The side adjacent to the angle is $9$ cm and the hypotenuse is $15$ cm. The angle is $\cos^{-1}(9/15) =$

12 Hard A flagpole is $15$ m tall. From a point $20$ m from its base on level ground, the angle of elevation to the top is $\tan^{-1}(15/20) =$

13 Hard From the top of a $28$ m lighthouse, a boat is $50$ m from the base (horizontally). The angle of depression to the boat is $\tan^{-1}(28/50) =$

14 Medium The true bearing of due South is:

15 Hard A boat sails $12$ km on a true bearing of $050°$. How far EAST of its start is it? (East component $= 12\sin 50°$)