Situation: The answer is D because running up a hill first takes less time, which you can see in the graph. Then, walking up a hill takes more time and you are going upward, which is expressed in the graph. Next, you run down the hill, which takes less time than walking which is on the graph. Finally, you walk the remainder of the hill downwards, which takes more time and is shown in the graph. Hope this helps!
Answer:
value of a in terms of b and c is: 
Option D is correct.
Step-by-step explanation:
We are given:
We need to find a in terms of b and c
We have: 
Put value of d 
So, value of a in terms of b and c is:
Option D is correct.
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
