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Fynjy0 [20]
2 years ago
14

What is the value of x? to x = [?]° o

Mathematics
1 answer:
Ugo [173]2 years ago
6 0

Answer:

The value of x from the figure is 58 degrees

To get the value of x, we will use the formula:

The angle at the vertex = 1/2(difference of angles at the arc)

Angle at the vertex = 1/2(160 - x)

51 = 1/2(160 - x)

102 = 160 - x

x = 160 - 102

x = 58 degrees

Hence the value of x from the figure is 58 degrees

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  138.06 lb N86.1°E

Step-by-step explanation:

There are several ways you can work this. One of the most straightforward is to resolve each vector into its north and east components, add those, and then covert the result back to magnitude and direction.

A diagram can help immensely.

We note that S78°E is the same as E12°S. Since we're used to seeing the coordinate system with the +x axis aligned with east, it can be convenient to think of the first force as 100 lb at -12°.

The angle of the second force is N53°E, which can be expressed as E37°N. Then in x-y coordinates, this force is 50 lb at +37°.

The components of the sum are the sum of the components:

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  ∠R = arctan(9.300/137.747) ≈ 3.9°

__

We want to express the answer in terms similar to the way the given forces are expressed, so we want the angle relative to north. The resultant is then described by ...

  R = 138.06 lb at N86.1°E

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