Question

Find a, b, and c.

A. a = 12,b = 6 root 3,c = 3 root 6
B. a = 12, B = 12 root 2, c = 3 root 6
C. a = 6 root 3, b = 12 root 3, C = 6 root 2
D. a = 6 root 3, b = 12 root 3,c= 6 root 2

Answer 1

C.

Explanation:

Answer 2

Option C.

`a=6√(3)`

`b=12`

`c=6√(2)`

Explanation:

step 1

Find the value of a

we know that

`tan(60\°)=a/6`

Remember that

`tan(60\°)=√(3)`

so

`a/6=√(3)`

`a=6√(3)`

step 2

Find the value of b

we know that

`cos(60\°)=6/b`

Remember that

`cos(60\°)=1/2`

so

`6/b=1/2`

`b=12`

step 3

Find the value of c

we know that

`cos(45\°)=c/b`

`cos(45\°)=c/12`

Remember that

`cos(45\°)=√(2)/2`

`c/12=√(2)/2`

`c=6√(2)`