Question

Find the value of x in the givenright triangle.х37°10x = [?]Enter your answer as a decimal rounded to thenearest tenth.Enter

Answer 1

The given triangle is shown:

To find the value of x,

Apply trigonometry ratios

For the given triangle

`\tan 37=(x)/(10)`

Solve for x:

`\begin{gathered} x=\tan 37*10 \\ x\approx0.75*10 \\ x\approx7.5 \end{gathered}`

Therefore the value of x to the nearest tenth is 7.5