Part B: What is the distance Wendy is traveling with the new measurement?
Part C: If Wendy travels the same distance each hour, how far will Wendy travel each hour using the new measurement?
Answer:
C
Step-by-step explanation:
Using the law of cosines then cosΘ is the following quotient
cosΘ =
where a = 5.8, b = 10.5 and c = 10.9
cosΘ =
=
= = 0.21 → C
Express your answer in simplest form.
A.
7 1/2 feet
B.
10 1/2 feet
C.
11 feet
D.
12 feet
Answer: Ok, the first hill rises 2 feet for every 10 feet of run.
So if both hills start in the ground where y = 0, we can write the height as a function of x in the next way: y = (2/10)*X so for every 10 feet you advance in x, you rise 2 feet in Y, where here 2/10 is the slope.
The second hill is described by y = (2/15)*X, so for every 15 feet in x, you rise 2 feet in y, and the slope is 2/15
Is easy to see that 2/10 > 2/15, so the slope of the first hill is bigger than the slope of the second hill, this means that the first hill is steeper than the second.