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Martina is planning to fly to a town 1000 km due north of her present location. There is a 45 km h wind blowing from .a. If her plane travels at 500 km h, what direction should the pilot head toreach the destination?

Martina Is Planning To Fly To A Town 1000 Km Due North Of Her Present Location There Is A 45 Km H Wind Blowing From A If Her Plane Travels At 500 Km H What Dire class=

Sagot :

Given:

There are given that the Martina planning to fly 1000km north.

Explanation:

According to the question:

(a):

Let v represent the velocity:

So,

[tex]vcos\theta=45sin30^{\circ}[/tex]

Then,

Put 500 for the value of v into the above formula:

So,

[tex]\begin{gathered} vcos\theta=45s\imaginaryI n30^{\operatorname{\circ}} \\ 500cos\theta=45\times\frac{1}{2} \\ cos\theta=\frac{45}{1000} \\ \theta=cos^{-1}\frac{45}{1000} \\ \theta=87.42 \end{gathered}[/tex]

Final answer:

Hence, the direction of the pilot head is northeast because the degree of rotation is 87.42 degrees.

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