Question

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Answer 1

Pitágoras para saber MN

h^2 = a^2 + b ^2
(MP) ^2 = (MN) ^2 + (NP)^2
20^2 = a^2 + 16^2
400 = a^2 + 256
400-256 = a^2
144 = a^2
a^2 = 144
a = √144
a= 12
Sen a = cat. op/ hip = NP/MP
Sen a (alfa) = 16/20 (:4)/(:4) = 4/5

Cos a = cat. Adj/ hip = MN/MP
Cos a = 12/20 (:4)/(:4) = 3/5

Tg a = cat op/ cat adj = NP/MN = 16/12 (:4)/(:4) = 4/3

Sen b (beta) = MN/MP = 12/20 (:4)/(:4) = 3/5

Cos b = NP/MP = 16/20 (:4)/(:4) = 4/5

Tg b = cat op/ cat adj = 12/16 (:4)/(:4) = 3/4