Answer:
h ≈ 9.9 cm
Step-by-step explanation:
By applying tangent rule for the given angle in the given right triangle,
tan(51°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(51°) = [tex]\frac{h}{8}[/tex]
h = 8 × tan(51°)
h = 9.879
h ≈ 9.9 cm
Therefore, measure of side 'h' is 9.9 cm.