Question

Solve for X. Round your answer to the nearest tenth.70°6XCalculatorX=

Answer 1

to solve the question, we will be applying trigonometric ratios

`\text{SOH CAH TOA}`

With respect to angle 70

`\begin{gathered} \text{Opposite = x} \\ \text{Adjacent = 6} \end{gathered}`

Therefore,

`\begin{gathered} \text{Tan 70 = }(opp)/(adj) \\ \text{Tan 70 =}(x)/(6) \\ x\text{ = 6 }*\tan 70 \\ x\text{ = 6 }*\text{ 2.7475} \\ x=16.485^{} \end{gathered}`

Therefore,

The value of x is

`x\text{ = 16.5 (to the nearest tenth})`