Answer:
Problem 1: HI = 12.22
Problem 2: AB = 16.23
Step-by-step explanation:
Problem 1:
tan = opposite / adjacent
HI = x
tan 42° = 11 / x
multiply both sides of the equation by x
x (tan 42°) = 11
divide both sides of the equation by tan 42°
x = 11 / tan 42°
tan 42° = 0.90 (given)
x = 11 / 0.90
x = 12.22
Problem 2:
cosine = adjacent / hypotenuse
cos 52° = 10 / c
multiply both sides by c
c (cos 52°) = 10
divide both sides by (cos 52°)
c = 10 / cos 52°
cos 52° = 0.616 (given)
c = 10 / 0.616
c = 16.23
