A person in a rowboat two miles from the nearest point on a straight shoreline wishes to reach a house six miles farther down th
e shore. if the person can row at a rate of 3 mi/h and walk at a rate of 5 mi/h, find the least amount of time required to reach the house. how far from the house should the person land the rowboat?
1 answer:
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Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 =
c =
c =
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° =
b =
b =
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° =
a =
a =
a = 9.42 m
