Please help me with this question

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asked Oct 28, 2024 75.4k views

1 Answer

Jeremy Morehouse · Answer 1 · 2024-11-04T00:24:00+0000

Answer:

Explanation:

sine rules:

$\boxed{(a)/(sinA) =(b)/(sinB) =(c)/(sinC) }$

(b)/(sinB) =(c)/(sinC)

$(29)/(sin\ 21^o) = (33)/(sinC)$

$sinC=(33(sin\ 21^o))/(29)$

=0.4078

$C=24^o\ or\ (180-24)^o$

Therefore C₁ = 156° and C₂ = 24°

A = 180° - (B + C)

A₁ = 180° - (21 + 156)°

= 3°

A₂ = 180° - (21 + 24)°

= 135°

(b)/(sinB) =(a_1)/(sinA_1)

$(29)/(sin\ 21^o) = (a_1)/(sin\ 3^o)$

$a_1=(29(sin\ 3^o))/(sin\ 21^o)$

=4.24

(b)/(sinB) =(a_2)/(sinA_2)

$(29)/(sin\ 21^o) = (a_2)/(sin\ 135^o)$

$a_2=(29(sin\ 135^o))/(sin\ 21^o)$

=57.22