Answer:
Step-by-step explanation:
1.
[tex]Hypotenuse = 32\\Adjacent = 25\\Angle\:\alpha \:=?\\Using \: SOHCAHTOA ;\\Cos \:\alpha = \frac{adj}{hyp} \\Cos \:\alpha = \frac{25}{32}\\\\\alpha = Cos^-^1\frac{25}{32} \\\alpha =38.62\\\\\alpha = 39[/tex]
2.
[tex]Opposite = 8\\Adjacent = 16\\\alpha =?\\Using SOHCAHTOA\\Tan\:\alpha = \frac{opp}{adj} \\Tan\:\alpha = \frac{8}{16} \\Tan \:\alpha =1/2\\\alpha = Tan^-^11/2\\\\\alpha =26.56\\\alpha =27[/tex]
3.
[tex]Hypotenuse = 41\\Opposite = 19\\\alpha = ?\\Using\: SOHCAHTOA\\Sin\:\alpha = \frac{opp}{hyp} \\Sin \:\alpha =\frac{19}{41}\\\\\alpha =Sin^-^1 (19/41)\\\\\alpha =27.6\\ \alpha =28[/tex]
