Answer:
[tex]x\approx 3.3[/tex]
Step-by-step explanation:
We can solve for x using the trigonometric ratio tangent:
[tex]\tan(\theta)=\dfrac{\text{opposite}}{\text{adjacent}}[/tex]
For the given angle, we can identify this ratio to be:
[tex]\tan(66\°) = \dfrac{7.5}{x}[/tex]
↓ multiplying both sides by x
[tex]x\cdot \tan(66\°) = 7.5[/tex]
↓ dividing both sides by tan(66°)
[tex]x = \dfrac{7.5}{\tan(66\°)}[/tex]
↓ evaluating using a calculator
[tex]\boxed{x\approx 3.3}[/tex]
