Achild in danger of drowning in a river is being carried downstream by a current that flows due south uniformly with a speed of 3 km/hr. the child is 0.5 km from the shore and 2 km north (i. e., upstream) of a boat landing when a rescue boat sets out. a) if the boat proceeds at its maximum speed of 24 km/hr with respect to the water, what angle relative to north should the pilot point the bow of the boat in order to reach the child in the minimum amount of time? enter your answer in degrees. angle james walker

Let the rescue boat starts at an angle theta with the North

now its velocity towards East is given as

now in some time "t" it will catch the boy

so we will have

also we have

now we have

by solving above we got

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

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