Answer:
h = 9.9
Step-by-step explanation:
Since the triangle is right we can use the tangent ratio to find h
tan51° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{8}[/tex]
Multiply both sides by 8
8 × tan51° = h
⇒ h = 9.9 cm ( to 1 dec. place )