Answer
c. a = 3√2, b = 6√2
Step-by-step explanation
#1.First, you find the opposite of the left triangle using sin formula
#2.After you get the opposite, find the b using sin formula and a using tan formula
Known
•Right triangle
Hypotenuse = 6
Adjacent = ?
Opposite = ?
• Left triangle
Hypotenuse = b
Adjacent = a
Opposite = ?
Question
a. adjacent of right triangle
b. hypothenuse of left triangle
Way to do
#1. Sin(∅)= opposite/hypotenuse
sin(45) = opposite/6
opposite = sin(45) × 6
opposite = 3√2
#2. a. tan(∅) = opposite/adjacent
tan(30) = 3√2 / a
a = 3√2 : tan(30)
a = 3√6
b. sin(∅) = opposite/hypotenuse
sin(30) = 3√2 / b
b = 3√2 : sin(30)
b = 6√2
#and so the a = 3√2 and b = 6√2
#you are welcome
Note for moderator that see this
#Moderators please don't be mean, dont delete my answers just to get approval from your senior or just to get the biggest moderation daily rank.