The answer will be 9900. Hope it help!
Answer:
Angle made by ramp with ground is ≈![19.29^{\circ}](https://tex.z-dn.net/?f=19.29%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is
ft.
Height of Skateboard ramp is
ft.
From figure,
It is forming a Right angle triangle
.
In
,
and
.
Clearly see that we need to find measure of angle
.
Using Trigonometric ratio:
![Tan(\theta)= \frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=Tan%28%5Ctheta%29%3D%20%5Cfrac%7BPerpendicular%7D%7BBase%7D)
So, ![Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35](https://tex.z-dn.net/?f=Tan%28%5Cangle%20C%29%20%3D%20%5Cfrac%7BAB%7D%7BBC%7D%20%3D%5Cfrac%7B3.5%7D%7B10%7D%20%3D0.35)
Then ![\angle C=Tan^{-1} (3.5)=19.290046^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20C%3DTan%5E%7B-1%7D%20%283.5%29%3D19.290046%5E%7B%5Ccirc%7D)
Therefore, Angle made by ramp with ground is ≈![19.29^{\circ}](https://tex.z-dn.net/?f=19.29%5E%7B%5Ccirc%7D)
It is -3 to start off with, on Monday. On Tuesday morning it would be -3 - 2 degrees, = -5 degrees. By Tuesday evening it was 4 degrees lower than in the morning, so -5 - 4 degrees = -9 degrees on Tuesday evening.
Hope this helps xox :)
Answer:
The flagpole's shadow is 16.875 feet longer than the man's shadow
Step-by-step explanation:
The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;
Height of the shadow=actual height of the flagpole×factor
where;
length of the flagpole's shadow=22.5 feet
actual height of the flagpole=32 feet
factor=f
replacing;
22.5=32×f
32 f=22.5
f=22.5/32
f=0.703125
Using this factor in the expression below;
Length of man's shadow=actual height of man×factor
where;
length of man's shadow=m
actual height of man=8 feet
factor=0.703125
replacing;
length of man's shadow=8×0.703125=5.625 feet
Determine how much longer the flagpole's shadow is as follows;
flagpoles shadow-man's shadow=22.5-5.625=16.875 feet
The flagpole's shadow is 16.875 feet longer than the man's shadow
Answer: x intercept= (-7/5,0) y intercept= (0.7)
Step-by-step explanation: