monkeynv5429 monkeynv5429
  • 19-07-2021
  • Mathematics
contestada

A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.

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fichoh
fichoh fichoh
  • 24-07-2021

Answer:

B = 64°

AB = 33.378

BC = 14.632

Step-by-step explanation:

Given the right angled triangle ;

Angle B = 180 - (90 + 26) (sum of angles in a triangle)

Angle B = 180 - 116

Angle B = 64°

Side AB = c

Using trigonometry :

Sin B = opposite / hypotenus

Sin 64 = 30/AB

AB = 30 / Sin64

AB = 33.378

Side BC ;

Sin A = BC / AB

Sin 26 = BC / 33.378

BC = 33.378 * Sin 26

BC = 14.632

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