<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
Answer:
4 Hours.
Step-by-step explanation:
You would set this up as an equality where x represent hours
19.00 + 1.50x = 14+2.75x
You then get the x on one side by subtracting 14 from both sides and 1.50x from both sides.
5 = 1.25x
Divide both sides by 1.25 to x by itself.
4 = x
Answer:
b. (-1, 5)
Step-by-step explanation:
Since the first equation is already solved for y, we can use substitution.
Substitute y in the second equation with 3x + 8.
5x + 2y = 5
5x + 2(3x + 8) = 5
5x + 6x + 16 = 5
11x = -11
x = -11/11
x = -1
Now substitute x in the first original equation by -1 and solve for y.
y = 3x + 8
y = 3(-1) + 8
y = -3 + 8
y = 5
Answer: (-1, 5)
Answer:
17
Step-by-step explanation:
Do you even know what a stem-leaf plot is?
The scores lower than 80% are:
70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.
