∆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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