Question

Can someone help me out with this?

What is the value of x?



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Answer 1

Find RT

• sin60=2√3/RT
• √3/2=2√3/RT
• RT=4√3/√3
• RT=4

Now

• tan45=x/4
• x=4

Answer 2

• x = 4

Explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

• a : b : c = 1 : √3 : 2

We have:

• b = 2√3 and c = RT

Use the ratio to find the lenght of RT

• 2√3 : RT = √3 : 2
• RT = 2*2√3/√3
• RT = 4

So the value of x is 4 units