Answer:
169.39 feet.
Step-by-step explanation:
We have been given that the Apollo's chariot, a roller coaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation
. We are asked to find the maximum height that the ride can reach.
To find the maximum height that the ride can reach, we need to find y-coordinate of vertex of parabola because our given equation is downward opening parabola and its maximum point will be the vertex.
First of all, we will find x-coordinate of vertex using formula
.

Now, we will substitute
in our equation to find y-coordinate of vertex as:





Therefore, the ride will reach to a maximum height of 169.39 feet.169.39 feet.
The factors of this expression are 34, x, and y.
1. -5/2
2. 4/3
3. -1
4. -4
5. 2
6. -1/2
7. -8/3
8. -4/5
9. 1
10. 4/3
11. 0
12. -1/5
13.1
14.-1
15. -3/4
16.1/5
17.2
18.-1
19.1/5
20.-1/5
Answer:
x ≈ 11.23
Step-by-step explanation:
Given
tan24° =
( multiply both sides by x )
x × tan24° = 5 ( divide both sides by tan24° )
x =
≈ 11.23 ( to 2 dec. places )