Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
The answer is
(x,y) = (3,-5)
The answer is D because absolute value is always positive
Answer:
About 0.559 seconds
Step-by-step explanation:
The height equation is:
Where 
is the initial height of the book, which is 5, so we can write:
Now, we want time it took for the book to reach ground (h = 0)
So, we substitute h = 0 and solve for t:
It took about 0.559 seconds for the book to reach the ground
The fourth one (The small one).
