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alenakasatkina
@alenakasatkina
August 2021
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помогите кто-нибудь срочно!
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sharadi
ΔAMH - прямоугольный. ∠А= φ, АН = d. Найти: АМ и МН
АН/АМ = Sinφ, ⇒
AM = AH/Sinφ= d/Sin
φ
MH/AH = tgφ, ⇒
MH = AH*tgφ= d*tg
φ
a) d = 4, φ = 45
AM = 4/Sin45° = 8/√2 = 4√2
АН = 4*tg45° = 4*1 = 4
б) d = 4, φ = 30°
AM = 4/Sin30° = 8/1/2 = 16
АН = 4*tg30° = 4*1/√3 = 4√3/3
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Answers & Comments
АН/АМ = Sinφ, ⇒ AM = AH/Sinφ= d/Sinφ
MH/AH = tgφ, ⇒ MH = AH*tgφ= d*tgφ
a) d = 4, φ = 45
AM = 4/Sin45° = 8/√2 = 4√2
АН = 4*tg45° = 4*1 = 4
б) d = 4, φ = 30°
AM = 4/Sin30° = 8/1/2 = 16
АН = 4*tg30° = 4*1/√3 = 4√3/3