Namelessp733idn
Answered

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Learning Task 2. Using the figure below, solve the required unknown value of right triangle ABC. Show your
solution
А
С
1. If A= 15° and c = 37, find a
2. If A= 76° and a = 13, find b.
3. If a = 13 and B = 16°, find c.
4. If b = 10 and c = 20, find m2A.
5. If a= 7 and b = 11, find mzB.
B
TT​

Learning Task 2 Using The Figure Below Solve The Required Unknown Value Of Right Triangle ABC Show Your Solution А С 1 If A 15 And C 37 Find A 2 If A 76 And A 1 class=

Sagot :

KAntoineDoixidn

∆ABC

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» Using the figure below, solve the required unknown value of right triangle ABC.

#1 (If A=15° and c=37, find a)

  • cos θ = adjacent/hypothenuse
  • cos A = a/c
  • cos 15° = a/37
  • a = 37 (cos 15°)
  • a = 35.74

ANSWER: a = 35.74

[tex] \: [/tex]

#2 (If A=76° and a=13, find b)

  • tan θ = opposite/adjacent
  • tan A = b/a
  • tan 76° = b/13
  • b = 13 (tan 76°)
  • b = 52.14

ANSWER: b = 52.14

[tex] \: [/tex]

#3 (If a=13 and B=16°, find c)

  • sin θ = opposite/hypothenuse
  • sin B = a/c
  • sin 16° = 13/c
  • c = 13 / (sin 16°)
  • c = 47.16

ANSWER: c = 47.16

[tex] \: [/tex]

#4 (If b=10 and c=20, find m∠A)

  • sin θ = opposite/hypothenuse
  • sin A = b/c
  • sin A = 10/20
  • sin A = 0.5
  • A = sin^(-1) (0.5)
  • A = 30°

ANSWER: m∠A = 30°

[tex] \: [/tex]

#5 (If a=7 and b=11, find m∠B)

  • tan θ = opposite/adjacent
  • tan B = a/b
  • tan B = 7/11
  • B = tan^(-1) (7/11)
  • B = 32.47°

ANSWER: m∠B = 32.47°

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