<h3>
Answer: Approximately 56 inches</h3>
===========================================================
Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
Answer:
c
Step-by-step explanation:
c remember vitamin c is helpful to you
Just put these values in the place of x and solve!
The answer is 2 btw
Assuming air resistance is negligible and a constant gravitational field.
h(t)=1053-16t^2 So the stone will hit the water when h(t)=0 so
1053-16t^2=0
16t^2=1053
t^2=65.8125, since t>0
t≈8.1 seconds (to nearest tenth of a second)
Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
