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Which expression can be used to find the measure of angle D in degrees?

1 Answer

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Final answer:

To find the measure of angle D in degrees, use trigonometric relationships, applying inverse trigonometric functions to the vector's components, adjusting for the specific quadrant as necessary.

Step-by-step explanation:

To find the measure of angle D in degrees, we need to apply trigonometric relationships or use a protractor as part of the process. The information provided indicates the use of vectors and their components in various directions (east, north). Therefore, trigonometry would involve calculating the angle using inverse trigonometric functions based on the given vector components, such as using arctangent (tan-1) for a vector defined by x (horizontal) and y (vertical) components, provided as Ď = (xî + yĵ). After determining the angle, it is also possible to adjust the angle based on the quadrant to find the correct direction (e.g., east or north of east).

In the context of the expressions mentioned like D = √√2Rh, this refers to the Pythagorean theorem applied in a different scenario and is not directly related to finding the angle D. Similarly, when analyzing angles measured in degrees, minutes, and seconds, we can use conversion between these units if necessary. Overall, the specific expression to find the measure of angle D would depend on the components given and the quadrant in which the angle lies

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