For this case we can model the problem as a rectangle triangle.
We have an angle and the base of the triangle.
To find the height we use the following trigonometric relationship:
tan (x) = C.O / C.A
Where,
x: angle
C.O: opposite leg
C.A: adjacent leg
Substituting values we have:
tan (4.76) = h / 15
Clearing h:
h = 15 * tan (4.76)
Answer:
An equation that could be used to determine the maximum height, h, is:
h = 15 * tan (4.76)
Answer:
8 + 2 * X = P
2 + 3 * X = C
Step-by-step explanation:
By means of the statement we have to:
Phillp case: "Charges $ 8 the first time he walks a dog and $ 2 per walk after that" that is:
P = 8 + 2 * X
Where X would be the number of walks.
Carrie case: "Charge $ 2 the first time he walks a dog and $ 3 per walk after that" That is:
C = 2 + 3 * X
Where X would be the number of walks.
Therefore the equation system would be:
8 + 2 * X = P
2 + 3 * X = C
P and C earnings of Phillp and Carrie respectively.
Answer:
10
Step-by-step explanation:
4k + 5 + 6k + 10 = 115 {Exterior angle property}
4k + 6k + 5 +10 = 115
10k + 15 = 115
10k = 115 - 15
10k = 100
k = 100/10
k = 10
In terms of "ratio units," the length of AC is 3+7=10, so each one is worth 120/10 = 12. The length BC is 7 of those, or 7·12 = 84.