Question

in triangle abc angle b=90 and angle a = 30 and bc = 30 then find ab and ac​

Answer 1

Answer:

ab = 51.96cm, ac = 60cm

Step-by-step explanation:

To find ab,

Tan∅ = opposite side/adjacent side

Tan30° = bc/ab = 30/ab

1/√3 = 30/ab

⇒ab = 30√3 (∵ cross multiplication)

   ab = 30 × 1.732

   ab = 51.96cm

To find ac,

Sin∅ = opposite side/ hypotenuse

Sin30° = bc/ac = 30/ac

1/2 = 30/ac

ac = 30 ×2 = 60cm

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