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iogann1982 [59]
3 years ago
6

Happy Tuesday! Looking for some help with my geometry.

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

Q1

  • cos 59° = x/16
  • x = 16 cos 59°
  • x = 8.24

Q2

BC is given 23 mi

<u>Maybe AB is needed</u>

  • AB = √34² + 23² = 41 (rounded)

Q3

  • BC² = AB² - AC²
  • BC = √(37² - 12²) = 35

Q4

Let the angle is x

  • cos x = 19/20
  • x = arccos (19/20)
  • x = 18.2° (rounded)

Q5

See attached

Added point D and segments AD and DC to help with calculation

  • BC² = BD² + DC² = (AB + AD)² + DC²

<u>Find the length of added red segments</u>

  • AD = AC cos 65° = 14 cos 65° = 5.9
  • DC = AC sin 65° = 14 sin 65° = 12.7

<u>Now we can find the value of BC</u>

  • BC² = (19 + 5.9)² + 12.7²
  • BC = √781.3
  • BC = 28.0 yd

<em>All calculations are rounded</em>

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