Sine Ratio

LM

LN

MN

LM

LN

MN

LM

LN

MN

24 cm

26 cm

14 cm

16 cm

$$\frac{MN}{LM}$$  

$$\frac{MN}{LN}$$  

$$\frac{LM}{LN}$$  

$$\frac{MN}{LM}$$  

$$\frac{MN}{LN}$$  

$$\frac{LM}{LN}$$  

$$\frac{MN}{LM}$$  

$$\frac{MN}{LN}$$  

$$\frac{LM}{LN}$$  

$$\frac{4}{3}$$  

$$\frac{3}{4}$$  

$$\frac{3}{5}$$  

$$\frac{4}{5}$$  

$$\frac{3}{5}$$  

$$\frac{4}{5}$$  

$$\frac{3}{4}$$  

$$\frac{4}{3}$$  

$$\frac{3}{5}$$  

$$\frac{4}{5}$$  

$$\frac{3}{4}$$  

$$\frac{4}{5}$$  

3/5

3/4

4/5

5/3

5/4

5 cm

8 cm

10 cm

16 cm

$$\tan50\degree=\frac{h}{2.3}$$

$$\tan50\degree=\frac{2.3}{h}$$

$$\tan40\degree=\frac{p}{12}$$

$$\tan40\degree=\frac{12}{p}$$

Joel is correct because 20.5 × tan 22° ≈ 8.2825

Joel is correct because 20.5 × tan 68° ≈ 8.2825

Joel cannot be correct because the side opposite 68° must be longer than the side opposite 22°.

Joel found the length of the hypotenuse.