Answer:
h = 9.87 cm
Step-by-step explanation:
Given that,
Base, b = 8 cm
Height = h
Angle, [tex]\theta=51^{\circ}[/tex]
We need to find the value of h. We can use trigonometry to find h.
[tex]\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm[/tex]
So, the height of the triangle is 9.87 cm.
