Pre-calculas Math help. easy 10 pointssssssssssssssssssssssssssssss?

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Gerry

New member
It's best to draw a picture first. Draw a line from the origin 6.5 cm long at an angle of 160°. Draw a second line from the origin, 10.5 cm long, at an angle of 295°. Draw a third line connecting the ends of these two lines, and label it 'c'. Label the central angle 'C', label the shorter of the two lines 'a', and the longer line 'b'.

The angle (C) between both aircraft is (180 - 70) + 25 = 110 + 25 = 135°.

Let a = 210, b = 130, C = 135°. Then, using the Law of Cosines

c² = a² + b² - 2abCos(C)

c² = 130² + 210² - 2(130)(21)(cos 135)

c² = 16900 + 44100 - 54600(-0.7071)

c² = 99608

c = 315.6

The two aircraft are 316 miles apart.
 
It's best to draw a picture first. Draw a line from the origin 6.5 cm long at an angle of 160°. Draw a second line from the origin, 10.5 cm long, at an angle of 295°. Draw a third line connecting the ends of these two lines, and label it 'c'. Label the central angle 'C', label the shorter of the two lines 'a', and the longer line 'b'.

The angle (C) between both aircraft is (180 - 70) + 25 = 110 + 25 = 135°.

Let a = 210, b = 130, C = 135°. Then, using the Law of Cosines

c² = a² + b² - 2abCos(C)

c² = 130² + 210² - 2(130)(21)(cos 135)

c² = 16900 + 44100 - 54600(-0.7071)

c² = 99608

c = 315.6

The two aircraft are 316 miles apart.
 
Plane A flies a distance of 130 miles in the direction North 70degrees West. Plane B departs from the same airport and flies a distance of 210 miles in the direction South 25 degrees East. Calculate the distance between the two points.
 
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