Answer:
The maximum safe rescue height is 104.6 feet above the height of the ground.
Step-by-step explanation:
Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.
We have to find the height of the building.
Let x be the height of building
Using Trigonometric ratio,
![\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Csin%20C%3D%5Cfrac%7B%5Ctext%7BPerpendicular%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\sin 72^{\circ}=\frac{AB}{BC}](https://tex.z-dn.net/?f=%5Csin%2072%5E%7B%5Ccirc%7D%3D%5Cfrac%7BAB%7D%7BBC%7D)
![\sin 72^{\circ}=\frac{x}{110}](https://tex.z-dn.net/?f=%5Csin%2072%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B110%7D)
![x=110 \times \sin 72^{\circ}](https://tex.z-dn.net/?f=x%3D110%20%5Ctimes%20%5Csin%2072%5E%7B%5Ccirc%7D)
![x=104.6](https://tex.z-dn.net/?f=x%3D104.6)
So, the maximum safe rescue height is 104.6 feet above the height of
the ground.
![y\leq 2x-5](https://tex.z-dn.net/?f=y%5Cleq%202x-5)
↝ x-intercept
![2x-5=0\\2x=5\\x=\frac{5}{2}](https://tex.z-dn.net/?f=2x-5%3D0%5C%5C2x%3D5%5C%5Cx%3D%5Cfrac%7B5%7D%7B2%7D)
↝ y-intercept
y = -5
↝
means that the shade/area is below the graph as shown in the first picture.
![y\leq -\frac{1}{2}x-3](https://tex.z-dn.net/?f=y%5Cleq%20-%5Cfrac%7B1%7D%7B2%7Dx-3)
↝ x-intercept
![-\frac{1}{2}x-3=0\\-x-6=0\\-x=6\\x=-6](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx-3%3D0%5C%5C-x-6%3D0%5C%5C-x%3D6%5C%5Cx%3D-6)
↝ y-intercept
y = -3
↝ Since it's "≤" therefore. The shade/area is below the graph. For second picture.
First picture is first inequality
Second picture is second inequality.
Answer:
y=3x=4x
Step-by-step explanation:
4x-50
We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.
In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.
Combined rate = 40 + 60 = 100 miles per hour.
To cover 2,800 miles they'll need 2,800/100=28 hours.
2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday.
Answer: 6:00pm on Tuesday