Question

To the nearest hundredth, what is the value of x? X 40°

Answer 1

The given triangle is a right angle triangle,

Apply the trignometry ratio of tan

`\tan \emptyset=(Perpendicular)/(Base)`

From the given figure we have,

Perpendicular=x and base=72 and angle =40 degree

`\begin{gathered} \tan 40^(\circ)=(x)/(72) \\ 0.839=(x)/(72) \\ x=0.839*72 \\ x=60.408 \\ x=60.41 \end{gathered}`

So the value of x is 60.41