A projectile is fired from a cliff 210 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 60 feet per second. The height h of the projectile above the
water is given by
-32x²
h(x)=-
(60)²
where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following
+x+210
(a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?
x=
-feet
(Round to the nearest foot as needed.)