The angle that is coterminal to-341 degrees is 29 degrees
<h3>Coterminal angles</h3>
Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side.
When determining the coterminal angle of a particular angle measure, we will simply add 360 degrees to such angle.
Given the angle -341 degrees, the angle coterminal to the angle is expressed as;
Coterminal angle = -341 + 360
Coterminal angle = 29 degrees
Hence the angle that is coterminal to-341 degrees is 29 degrees
Learn more on coterminal angle here; brainly.com/question/19891743
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Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation: