A train goes up a hill with a 15º incline. If the train has constant speed of 22 m/s, what are the vertical and horizontal compo
nents of the train's velocity? (Remember to use the law of sine and cosines for this problem)
1 answer:
Sinθ=opposite side/hypotenuse
cosθ=adjacent side/hypotenuse
where both the sides are relative to theta.
in this case, 22 is your hypotenuse. theta (θ) is the angle you are examining. i've included a diagram for reference because the equations may format differently depending on which angle you choose as theta.
using my diagram:
sinθ = o/h
sin 15 = o/22
sin 15(22) = o
o=5.69m/s
therefore the vertical component is about 5.69m/s.
cosθ=a/h
cos15 = a/22
cos15(22) = a
a = 21.25m/s
therefore, your horizontal component is about 21.25m/s.
cosθ=adjacent side/hypotenuse
where both the sides are relative to theta.
in this case, 22 is your hypotenuse. theta (θ) is the angle you are examining. i've included a diagram for reference because the equations may format differently depending on which angle you choose as theta.
using my diagram:
sinθ = o/h
sin 15 = o/22
sin 15(22) = o
o=5.69m/s
therefore the vertical component is about 5.69m/s.
cosθ=a/h
cos15 = a/22
cos15(22) = a
a = 21.25m/s
therefore, your horizontal component is about 21.25m/s.
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Answer:
$7.25
Step-by-step explanation:
Total amount spent on the ticket = $40.75
Number of ticket purchased = 5
Processing fee per ticket = $0.90
Unknown:
Cost of each ticket = ?
Solution:
To solve this problem, we need to find the processing fee for the 5 tickets purchase;
Processing fee = number ticket x processing fee per ticket
Processing fee = 5 x 0.9 = $4.5
Now, the real cost a ticket = $40.75 - $4.5 = $36.25
So, cost per ticket is;
Cost = = $7.25