Ahiker walks 4 km north and then 5 km northeast. draw displacement vectors representing the hiker's trip and draw a vector that represents the hiker's net displacement from the starting point.

Ф=°

Step-by-step explanation:

For easy calculations let's decompose the vector in its rectangular components:

Now lets calculate the resultant vector:

Finally let´s calculate the magnitude and direction of R:

║║=

Ф=°

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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40 minutes

step-by-step explanation:

add the time and multiply by 2