Question

What is the value of x?

Answer 1

Answer:

x = 4

Step-by-step explanation:

We are given a figure QRST which has two right angled triangles in it and we are to find the value of x.

To find x, we first need to find the side length of RT.

$sin  60=\frac{2\sqrt{3} }{RT}$

$RT = \frac{2\sqrt{3} }{sin 60}$

$RT = 4$

Now finding the value of x:

$tan 45 = \frac { x } { 4 }$

$x = tan 45 \times 4$

x = 4