Final answer:
The horizontal component of the ball's velocity when the receiver catches it is approximately 13.605 m/s.
Step-by-step explanation:
To find the horizontal component of the ball's velocity, we can use the formula:
horizontal velocity = initial velocity * cos(angle)
Plugging in the given values, we have:
initial velocity = 15 m/s
angle = 25°
Using a calculator to find the cosine of 25°, we get:
cos(25°) ≈ 0.907
Multiplying the initial velocity by the cosine of the angle, we find:
horizontal velocity = 15 m/s * 0.907 ≈ 13.605 m/s
Therefore, the horizontal component of the ball's velocity when the receiver catches it is approximately 13.605 m/s.