Answer:
1st pic) 17.8
2nd pic) 16.8
3rd pic) 9.1
4th pic) 13.5
Step-by-step explanation:
1st pic: [tex]cos = \frac{adjacent}{hypothenuse}[/tex]
(write equation) Cos 27 (cos 27 = 0.89) = [tex]\frac{x}{20}[/tex]
(new equation) 0. 89 = [tex]\frac{x}{20}[/tex]
(multiply 20 on both sides) 0.89 x 20 = [tex]\frac{x}{20}[/tex] x 20
(solve) 17.8 = x
2nd pic: [tex]tan = \frac{adjacentx}{hypothenuse}[/tex]
(write equation) tan 40 (tan 40 = 0.84) = [tex]\frac{32}{x}[/tex]
(new equation) 0.84 = [tex]\frac{32}{x}[/tex]
(multiply 32 on both sides) 0.84 x 20 = [tex]\frac{32}{x}[/tex] x 20
(solve) 16.8 = x
3rd pic: [tex]cos = \frac{adjacent}{hypothenuse}[/tex]
(write equation) cos 55 (cos 55 = 0.57) = [tex]\frac{16}{x}[/tex]
(new equation) 0.57 = [tex]\frac{16}{x}[/tex]
(multiply 16 on both sides) 0.57 x 16 = [tex]\frac{16}{x}[/tex] x 16
(solve) 9.1 = x
4th pic: [tex]tan = \frac{adjacentx}{hypothenuse}[/tex]
(write eqaution) tan 42 (tan 42 = 0.90) = [tex]\frac{x}{15}[/tex]
(new equation) 0.90 = [tex]\frac{x}{15}[/tex]
(multiply 15 on both sides) 0.90 x 15 = [tex]\frac{x}{15}[/tex] x 15
(solve) 13.5 = x
