Question

The two forces 2√2N and xN are acting at a point their resultant is perpendicular to ^xN and having magnitude of √6N. The angle between the twi force and magnitude of x are ....

Plz solve it correctly with step by step solution. It would be better if you write on a page abd answer this using a pic.
It would be really helpful to me.

THANKS IN ADVANCE:)

Answer 1

This Is the Correct Solution, Sorry For Bad Handwriting

Answer 2

"Using the Pythagoras theorem,

$({2 \sqrt2}) ^2 = (\sqrt 6)^2 + (x)^2$

$8 = 6 + x^2$

$x^2 = 2$

$x = \sqrt 2$

Now using trigonometric identities,

$Sin \theta = \frac {AB} {AC} = \frac {\sqrt 6} {2 \sqrt2} = \frac {\sqrt 3}{2}\theta = sin^{-1} (\frac {\sqrt 3}{2}) \rightarrow \theta = 60 ^{o}$

"Pythagoras theorem" is related to "right-angled triangle". "Pythagoras theorem" is used to "determine the length" between the objects with the "lengths" of the "other two sides" if all the objects are placed in triangle shape."