Answer:15.78 m
Step-by-step explanation:
Given
mass of apple m=12 g
launch angle [tex]\theta =78^{\circ}[/tex]
initial velocity [tex]u=18\ m/s[/tex]
For the projectile motion, maximum height is given by
[tex]H_{max}=\frac{u^2\sin^2 \theta}{2g}[/tex]
Putting values
[tex]H_{max}=\frac{18^2\cdot \sin^2(78^{\circ})}{2\times9.81}[/tex]
[tex]H_{max}=\frac{324\times0.956}{2\times9.81}=15.78\ m[/tex]