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O www.webassign.net/web/Student/Assignment-Responsessubmit?dep 15306139 My Notas O Ask Your Teacher 0.5/1 points l Previous Answers SAgTrg4 5.6046. Alrport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly from A to B mistakenly flies due east at 150 mWh for 20 min, when he notices his Airport B 300 mi 50 Airport A (a) How far is the pilot from his destination at the time notices the error? (Round your answer to one decimal place.) he (b) what bearing should he head his plane to arrive at airport B? (Round your answer to the nearest degree.) Submit Answer Save Progress Practice Another version My Notes Ask Your Teache O 1M points Previous Answers SARTng4 56051 a point d 600 ft from the base to the A steep mountain is inclined 74. to the horizontal and rises h 3400 ft above the surrounding plain. A cable car is to be installed from top of the mountain, as shown. Find the shortest length of cable needed. (Round your answer to the nearest foot.) 3747.082 ft

Explanation / Answer

Solution:

a = 50 miles (150miles /hr for 20 minutes)
b = 300 miles
c = ? miles (Required distance to get to airport B)
C = 50°
A = ?°
B = ?° (Required angle to get to airport B)

From the Law of Cosines, we have that:

c² = a² + b² - 2ab*Cos(C)
==> c² = 50² + 300² - 2(50)(300)*Cos(50°)
==> c² = 2500 + 90000 - 30000*Cos(50°)
==> c² = 92500 - 30000*Cos(50°) =
==> c = [92500 - 30000*Cos(50°)]
==> c 270.6 miles

So he about 270.6 miles off-course.

So now we have:

b² = a² + c² - 2ac*Cos(B)
==> 300² = 50² + 270.6² - 2(50)(270.6)*Cos(B)
==> 90000 = 75724.36 - 27060*Cos(B)
==> Cos(B) -0.527555
==> B 122°

Therefore, he needs to travel N 32°E to get to his destination

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