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## Homework Statement

the center field fence in a ball park is 10ft high and 400 feet from home plate. the ball is hit 3 ft above ground. it leaves the bat at an angle of theta degrees with the horizontal speed of 147.67ft/second. find the minimum angle at which the ball must leave the bat in order for hit to be a home run.

the path of the projectile is modeled by the parametric equations:

x=v

_{0}cos(theta)t

y=3+(v

_{0}sin(theta)t-15t^2

## Homework Equations

## The Attempt at a Solution

substitute 400 in for x and 147.67 for v

_{0}to solve for t

t=400/(146.67cos(theta)

then i took t and put it into the equation for y

y=3+(147.67sin(theta)(400/(146.67cos(theta))-16(400/(146.67cos(theta))^2

Did I do this correctly? If so, can some one help me with the math to solve for theta?