Question

What is x? how would i find the value of x?

Answer 1

GivenSolutionRecall: SOHCAHTOA

`Tan\text{ 65=}(x)/(7)`

Solve for x

`\begin{gathered} x=7tan65 \\ x=15.01154 \end{gathered}`The final answer
`15\text{ \lparen nearest whole number\rparen}`Alternatively (second approach)

Using sine rule

`(sin25)/(7)=(sin65)/(x)`

Solve for x

`\begin{gathered} xsin25=7sin65 \\ x=(7sin65)/(sin25) \\ \\ x=15.01154 \end{gathered}`The final answer
`15\text{ \lparen nearest whole number\rparen}`