dancegirllizzie
dancegirllizzie dancegirllizzie
  • 18-09-2020
  • Mathematics
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Could someone just explain how to solve this for the two sides? We learned 30 60 90 triangles not 29 61 90 triangles

Could someone just explain how to solve this for the two sides We learned 30 60 90 triangles not 29 61 90 triangles class=

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MathPhys
MathPhys MathPhys
  • 18-09-2020

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Side a is adjacent to the 29° angle, and 14 is opposite of the 29° angle.  So use tangent:

tan 29° = 14 / a

a = 14 / tan 29°

a ≈ 25.3

Side c is the hypotenuse, and 14 is opposite of the 29° angle.  So use sine:

sin 29° = 14 / c

c = 14 / sin 29°

c ≈ 28.9

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