Answer:
[tex]x\approx 7.0[/tex]
Step-by-step explanation:
Since we are given a right triangle, we can use right trigonometric ratios.
x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:
[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]
Solve for x:
[tex]x=10\tan(35^\circ)[/tex]
Use a calculator:
[tex]x=7.0020...\approx 7.0[/tex]
