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Find the value of x in the diagram below.

 May 16, 2020
 #1
avatar+111438 
+1

Note that  the triangle  on the left  is  a 30-60-90  right triangle

 

The side opposite the 30°  angle  = 1

 

The side opposite the right angle is twice this  =  2

 

And the triangle  on the rigth is also 30-60-90

 

The side opposite the 30° angle = the hypotenuse of the first triangle

 

"x"  is oposite the 60° angle and is √3 times as long as the side opposite the 30° angle

 

So 

 

"x"    =   2√3

 

 

 

cool cool cool

 May 16, 2020
 #3
avatar+1079 
+3

"x" is opposite the right angle    smiley

Dragan  May 16, 2020
 #2
avatar+1079 
+3

Both triangles are 30-60-90

 

Let the  hypotenuse of a smaller triangle be a Y

 

Y = 1 / cos(60°) = 2

 

X = 2 / sin(30°) = 4   wink

 May 16, 2020
edited by Dragan  May 16, 2020
 #4
avatar+74 
+3

the answer is 4 because in the smaller triangle the hypotenuse is twice 1 so it is 2. In the larger triangle the hypotenuse is twice 2 so 2 times 2 is 4 so x=4.

 May 16, 2020
edited by Mathlord  May 16, 2020

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