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vlabodo [156]
2 years ago
15

Find the lengths of sides marked with variables (x, y, w, z). Show all work

Mathematics
2 answers:
natita [175]2 years ago
6 0

Answer:

  • 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m

Step-by-step explanation:

Use <u>trigonometry</u> to solve for unknowns.

<h3>1) Use sine</h3>
  • <em>sine = opposite leg / hypotenuse</em>
  • sin 27° = x/42
  • x = 42 sin 27°
  • x = 19.07 m (rounded)

<h3>2) Use tangent</h3>
  • <em>tangent = opposite leg / adjacent leg</em>
  • tan 23° = 34/x
  • x = 34 / tan 23°
  • x = 80.10 ft

<h3>3) Use cosine</h3>
  • <em>cosine = adjacent leg / hypotenuse</em>
  • cos 48° = 38/x
  • x = 38 / cos 48°
  • x = 56.79 m (rounded)

tiny-mole [99]2 years ago
4 0

#1

  • sin27=x/42
  • x=42sin27
  • x=19.07m

#2

  • tan23=34/x
  • x=34/tan23
  • x=80.1ft

#3

  • cos48=38/x
  • x=38/cos48
  • x=56.79m
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