Question

Can someone please help me find the value of X?

Answer 1

The given diagram is a right angled triangle with an angle 34 degrees, whose opposite side is 'x', and adjacent side is 16 units.

Since it is right triangle, the triagonometric ratios are applicable.

Apply the tangent ratio as,

`\tan \theta=(OppositeSide)/(Adjacent)`

Substitute the values and simplify,

`\begin{gathered} \sin 34^(\circ)=(x)/(16) \\ 0.559=(x)/(16) \\ x=0.559*16 \\ x\approx8.947 \end{gathered}`

Thus, the value of 'x' is 8.947 approximately.