A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function f(x)=-5x2+6x+100 (graphed below
) represents this situation where x is time and y is the distance off of the ground.
e. What would the new function be? What kind of transformation is this?
f. Would you still use the same domain and range? Why or why not?
e. What would the new function be? What kind of transformation is this?
f. Would you still use the same domain and range? Why or why not?
1 answer:
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Answer:
The distance between the zoo and the library is 400ft
Step-by-step explanation:
Let x be the distance between point G and the zoo
Let y be the distance between the zoo and the library
To solve this problem quickly, we use trigonometric relations
tan(angle) = opposite cathetus / adjacent cathetus
In this case
tan(30) = (200√3) / (x+y)
(x+y) = (200√3)/ tan(30)
(x+y) = 600 ft
For the other angle
tan(60) = (200√3) / (x)
(x) = (200√3)/ tan(60)
x = 200 ft
y = 600 ft - 200 ft = 400 ft
The distance between the zoo and the library is 400ft
