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An airship flies in a direction of 20 degrees North of West at 420 mph. It encounters a 25 mph wind that is heading 17 degrees East of South. Its ground speed of 405.4 mph can be calculated. Equation below is used to find the drift angle of the airship. A. StartFraction sine A Over 25 EndFraction = StartFraction sine 53 Over 405.4 EndFraction B. 4202 = 252 + 405.42 – 2(25)(405.4)cos(A) C. c2 = 4202 + 405.42 D. Inverse tangent of (StartFraction 420 Over 405.4 EndFraction). The value of the drift angle is

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Answer:

Equation A.

Drift Angle is 2.82

Step-by-step explanation:

The measure of the drift angle is 2.82 degrees if the airship flies in a direction of 20 degrees North or West at 420 mph.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

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We have an airship that flies in a direction of 20 degrees North of West at 420 mph. It encounters a 25 mph wind that is heading 17 degrees East of South.

To find the drift angle solve the equation:

sinA/25  =  sin53/405.4

sinA = 0.0492

A = sin⁻¹(0.0492)

A = 2.82 degrees

Thus, the measure of the drift angle is 2.82 degrees if the airship flies in a direction of 20 degrees North or West at 420 mph.

Learn more about trigonometry here:

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