WORK THIS CHALLENGE EXERCISE. A is known to be 6,500 feet above sea level; AB = 600 feet. The angle at A looking up at P is 20°.
2 answers:
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Answer:
69 feet
Step-by-step explanation:
we have
where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to
where
(h,k) is the vertex of the parabola
the vertex is the point (2,69)
therefore
The maximum height is 69 ft
Write this as an equation and solve
The number is 30
The number is 30