Answer:
vₓ = 63.07 m/s
Step-by-step explanation:
The horizontal vector component of the velocity can be found by the following formula:

where,
vₓ = horizontal vector component of velocity = ?
v = magnitude of velocity = 77 m/s
θ = angle with x-axis = 35°
Therefore,

vₓ = 63.07 m/s