I need to know the step by step on how to solve this question
1 answer:
My father taught me a method that I call, 'throwing some thing over the wall'. There is a sample equation for the first picture that shows you how it works. It's a great way to help isolate the variable and I hope that it works for you. The second picture contains the answers I got through the use of this method. I'm sorry for the messy handwriting; I was on a bus.
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9514 1404 393
Answer:
23.2 mi/h at N 7.4° W
Step-by-step explanation:
The velocity vectors of the woman and the ship form the legs of a right triangle. The hypotenuse of that triangle is the vector representing the woman's speed relative to the water.
The magnitude of the resultant velocity can be found using the Pythagorean theorem.
r = √(3² +23²) = √538 ≈ 23.2
The given vectors are adjacent and opposite the angle of interest, so the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = 3/23
α = arctan(3/23) ≈ 7.4°
The woman's speed relative to the water is about 23.2 mi/h. Her direction is about 7.4° west of north.
