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natali 33 [55]
3 years ago
11

PLEASE PLEASE HELP ME ASAP

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

  • sin=O/H
  • cos=A/H
  • tan=O/A

----------------------------------------------------------

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

- BD relative to 28° is [opposite]

- Therefore, we need to use O/A, which is tan

- tan(28°)=16.2/A=16.2/tan(28°)=30.5

Hope this helps!! :)

Please let me know if you have any questions

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