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https://web2.0calc.com/questions/help_66144

 Apr 28, 2021
 #1
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Two triangles can be formed with the given information. Use the Law of Sines to solve the trianglesusing the law of sines.C=7 A37degrees B71degrees

 Apr 28, 2021
 #2
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You don't even know what you're talking about stop bullshitting

Guest Apr 28, 2021
 #3
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See the following image :

 

 

We can  use  similar  triangles to solve  this

 

Let  X     be  the number of units on the  x axis   that is  to the left  of the point   (-3,0)

 

Let  A =  (0,0)   Let  B  = (7,0)

 

The  radius of the  smaller circle = 3  = AC    the  radius of the  large  circle =  4 =  BD

 

BX  =  10 +  X

AX =  3 +  X

 

We  have  that

 

BX / BD   = AX / AC

 

(10+ X)  /  4  =  ( 3 + X)  /  3     cross-multiply

 

3 (10 + X)  = 4(3 + X)

 

30  + 3X  =  12 +  4X

 

30 - 12  =  4X - 3X

 

18  = X

 

The  the coordinates of X  are  (  -3 - 18, 0)   = ( -21, 0 )

 

We  can find   XC    as    sqrt  ( 21^2  - 3^2)  =   12sqrt (3)

 

The  tangent  of  angle XAC =  -3 / ( 12 sqrt 3)  =    -1 ( 4sqrt (3))  =  -sqrt (3) / 12

 

The  equation of  one of  the tangent lines  is

 

y  = (-sqrt (3)  / 12)   ( x  + 21)

 

And  the  equation of the other  is   just     y=  (sqrt (3) / 12)  (x + 21)

 

 

cool cool cool

 Apr 28, 2021

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