ChristaJoy
New member
- Joined
- Sep 23, 2012
- Messages
- 9
Hi, I've been trying to solve this problem over and over again but I can't seem to get anywhere with it, and my answer seems unreasonable. Here it is:
Two oceanfront homes are located 8 miles apart on a straight stretch of beach, each a distance of 1 mile from a paved path that parallels the ocean. Sally can jog 8 miles per hour on the paved path, but only 3 miles per hour on the sand. Because a river flows directly between the two houses, it's necessary to jog in the sand to the road, continue on the path, and then jog directly back in the sand to get from one house to the other. The time T to get from one house to the other as a function of the angle t is:
T(t)=1+(2/(3sin(t)))-(1/(4tan(t))) and 0<t<(pi/2)
a) Calculate the time T for tan(t)=1/4
b)Describe the path taken.
c) Explain why t must be larger than 14degrees.
I have no idea how to find b or c, and when I was trying to find a, I kept getting 2.75 hours but that just doesn't seem right. Any help would be appreciated Thanks!
Two oceanfront homes are located 8 miles apart on a straight stretch of beach, each a distance of 1 mile from a paved path that parallels the ocean. Sally can jog 8 miles per hour on the paved path, but only 3 miles per hour on the sand. Because a river flows directly between the two houses, it's necessary to jog in the sand to the road, continue on the path, and then jog directly back in the sand to get from one house to the other. The time T to get from one house to the other as a function of the angle t is:
T(t)=1+(2/(3sin(t)))-(1/(4tan(t))) and 0<t<(pi/2)
a) Calculate the time T for tan(t)=1/4
b)Describe the path taken.
c) Explain why t must be larger than 14degrees.
I have no idea how to find b or c, and when I was trying to find a, I kept getting 2.75 hours but that just doesn't seem right. Any help would be appreciated Thanks!