Answer:
a) n = 1.8
b) n = 12
Step-by-step explanation:
use cosine for both ⇔ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
part a:
⇒ cos 75 = [tex]\frac{7}{n}[/tex]
cos of 75 is 0.2588
⇒ 0.2588 = [tex]\frac{7}{n}[/tex]
multiply 7 on both sides
⇒ 0.2588 x 7 = [tex]\frac{7}{n}[/tex] x
⇒ n = 1.8
part b:
⇒ cos 57 = [tex]\frac{22}{n}[/tex]
cos of 57 is 0.5446
⇒ 0.5446 = [tex]\frac{22}{n}[/tex]
multiply 22 on both sides
⇒ 0.5446 x 22 = [tex]\frac{22}{n}[/tex] x 22
⇒ n = 12
