Answer:
trigonometry is difficult haha…. Answer is 8.81 I think
Step-by-step explanation:
Answer:
See explanation below
Step-by-step explanation:
The width is 4 inches
So, the area of the base is 20 inches squared
The height is 4 inches
So, the volume of the prism is 80 inches cubed
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
