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Find the lengths of sides marked with variables (x, y, w, z). Show all work
asked
Feb 2, 2023
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11
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Find the lengths of sides marked with variables (x, y, w, z). Show all work
Mathematics
high-school
Sujith Gunawardhane
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Sujith Gunawardhane
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2
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9
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#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
Sehummel
answered
Feb 4, 2023
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Sehummel
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4
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Answer:
1) 19.07 m, 2) 80.10 ft, 3) 56.79 m
Explanation:
Use
trigonometry
to solve for unknowns.
1) Use sine
sine = opposite leg / hypotenuse
sin 27° = x/42
x = 42 sin 27°
x =
19.07 m
(rounded)
2) Use tangent
tangent = opposite leg / adjacent leg
tan 23° = 34/x
x = 34 / tan 23°
x =
80.10 ft
3) Use cosine
cosine = adjacent leg / hypotenuse
cos 48° = 38/x
x = 38 / cos 48°
x =
56.79 m
(rounded)
Kevin Regenrek
answered
Feb 7, 2023
by
Kevin Regenrek
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