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Daniel [21]
3 years ago
7

A,B,C,D are 4 towns. B is 40 kilometeres due east of A. C is 30 kilometeres due north of A. D is 45 kilometeres due south of A.

Worko out the bearing B from C

Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo.

We would determine angle ACB by applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Taking angle ACB as the reference angle,

Tan C = 40/30 = 1.33

Angle ACB = tan^-1(1.33) = 53.1°

The bearing is calculated with respect to the northern direction. Therefore, the bearing of B from C is

180 - 53.1 = 126.9°

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The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20,  2y-20,  2y-20, <span> 

They add up and must be equal to 720, so let's set up the equation to get...

(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720

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<span>10y = 800
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Now that we know the value of y, we can figure out the six angles

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Answer:

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Step-by-step explanation:

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