Answer:
x = 18.5
Step-by-step explanation:
tangent is opposite over adjacent
tan 51 = x/15
solve for x
be sure your calculator is in Degree mode.
x = tan 51 * 15
x ≈ 18.52
Using the tangent ratio in the right triangle
tan51° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{15}[/tex]
Multiply both sides by 15
15 × tan51° = x, thus
x ≈ 18.52 ( to 2 dec. places )
