Answer:
x = 13
Step-by-step explanation:
Right Triangles
In a right triangle, there is an internal angle of 90°. The other two must add up to 90°.
The trigonometric ratios are satisfied in a right triangle. The tangent ratio, for example, is defined as:
[tex]\displaystyle \tan 35^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The angle of 35° is adjacent to the side of length 18 and is opposite to the side of length x, thus:
[tex]\displaystyle \tan 35^\circ=\frac{x}{18}[/tex]
Solving for x:
[tex]x=18\tan 35^\circ[/tex]
This is the equation to solve. Now substitute the tangent for its value to get
x = 13
