Question

Solve for x. Round to the nearest tenth, if necessary.N64°хx3.7LM

Answer 1

The triangle is shown below:

Using the Cosine Trigonometric Ratio,

`\cos \theta=\frac{\text{adj}}{\text{hyp}}`

We can substitute the values as follows:

`\cos 64=(3.7)/(x)`

Solving, we have

`\begin{gathered} 0.4384=(3.7)/(x) \\ \therefore \\ x=(3.7)/(0.4384) \\ x=8.4 \end{gathered}`

The value of x is 8.4