Answer:
As per the statement
The altitude of the balloon is 50 feet and the rope is 75 feet long.
⇒ Altitude of the balloon = 50 feet.
And length of the rope = 75 feet.
We have to find the angle that rope makes with ground,
Using Sine ratio:
You can see the diagram as shown below.
Here,
Opposite side = Altitude of the balloon = 50 feet.
Hypotenuse side = length of the rope = 75 feet.
Substitute the given values we have;
⇒
= 41.8°
Therefore, the angle that the rope makes with the ground is, 41.8 degree
1. First you multiply by 10 to get rid of the decimals
3x - 5y = 12 and 7x - 2y = -1
2. Since we need to solve by elimation, we want to elimanate a variable. To do that multiple the first equation by 2 and the second equation by -5
6x - 10y = 24
-35x +10y = 5
3. Add the equations downwards
-29x = 29
4. Divide both side by -29
x= -1
5. Solve for y by putting -1 in for x into any of the equations. I'll use 3x- 5y=12
3(-1) -5y = 12
-3-5y=12
-5y =15
y= -3
The distance between the x values is 4 and the distance between the y values is 10...
divide the distance between the x values and the y values
add 2 to the 4 on x
add 5 to the 2 on y
gives us the midway point of (4, 7)
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