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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

Find a b and c A a 12b 6 root 3c 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 3c 6 root 2 class=

Respuesta :

calculista

Answer:

Option C.

[tex]a=6\sqrt{3}[/tex]

[tex]b=12[/tex]

[tex]c=6\sqrt{2}[/tex]

Step-by-step explanation:

step 1

Find the value of a

we know that

[tex]tan(60\°)=a/6[/tex]

Remember that

[tex]tan(60\°)=\sqrt{3}[/tex]

so

[tex]a/6=\sqrt{3}[/tex]

[tex]a=6\sqrt{3}[/tex]

step 2

Find the value of b

we know that

[tex]cos(60\°)=6/b[/tex]

Remember that

[tex]cos(60\°)=1/2[/tex]

so

[tex]6/b=1/2[/tex]

[tex]b=12[/tex]

step 3

Find the value of c

we know that

[tex]cos(45\°)=c/b[/tex]

[tex]cos(45\°)=c/12[/tex]

Remember that

[tex]cos(45\°)=\sqrt{2}/2[/tex]

[tex]c/12=\sqrt{2}/2[/tex]

[tex]c=6\sqrt{2}[/tex]

329758

Answer:

C.

Step-by-step explanation:

Ver imagen 329758

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