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A plane flies at 400 north of East for 150 miles,then flies 200 miles at an angle of 150 west of North. What is the plane's final displacement? Show all work
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A plane flies at 400 north of East for 150 miles,then flies 200 miles at an angle of 150 west of North. What is the plane's final displacement? Show all work

User SchizoDuckie
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1 Answer

3 votes

Answer:

341.46miles

Step-by-step explanation:

Find the diagram attachment.

To get the displacement D, we will use the cosine rule as shown;

D² = 200²+150²-2(160)(400)cos65°

D² = 40000+22500-128000cos65°

D² = 62500+54095.14

D² = 116595.14

D = √116595.14

D= 341.46 miles

Hence the plane final displacement is 341.46miles

A plane flies at 400 north of East for 150 miles,then flies 200 miles at an angle-example-1
User Thomas Landauer
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