Two airplanes are approaching the airport tower at the same altitude. Radar shows that plane A is 20 miles due east of the tower
1 answer:
Answer:
40 miles
Step-by-step explanation:
We can solve this by drawing a triangle if one plane is east of the tower and the other north east. We assume that the tower is the other point of the triangle. We have an angle of 15 degrees connecting tower to plan B. We can sine rule to solve this problem.
The sine rule is:
sinA/a=sinB/b=sinC/c
As we know one angle and two sides we can solve for the one side and two angles as we have 3 unknowns and 3 known values:
Let plane A have angle A and side a, plane B have angle B and side b:
sinA/a=sinB/b
sinA/20=sin15/22
sinA
A = sin^-1 (0.235)=13.6 degrees
Therefore angle C is:
We can solve for c:
sinB/b=sinC/c
The planes are 40.6 miles apart
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(A) 0.006593 or 0.6593%
(B) 0.01538 or 1.538%
Step-by-step explanation:
The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:
(A) There are only three possibilities for which the inspector finds exactly one nonconforming part (NCC, CNC, CCN). Therefore, the probability is:
(B) There are three possibilities for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:
Step-by-step explanation:
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