l'angle PAB = 90 - 55 = 35°
tan 35° = PH/AH ⇒ PH = AH x tan 35° = 2.9 x 0.7 = 2.03 m
AH = HB = AB/2 = 5.8/2 = 2.9 m
on applique le théorème de Pythagore
PA² = PH² + AH² = 2.03² + 2.9² = 4.12 + 8.41 = 12.53
PA = √12.53 = 3.54 m
PB = 3.54 m
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l'angle PAB = 90 - 55 = 35°
tan 35° = PH/AH ⇒ PH = AH x tan 35° = 2.9 x 0.7 = 2.03 m
AH = HB = AB/2 = 5.8/2 = 2.9 m
on applique le théorème de Pythagore
PA² = PH² + AH² = 2.03² + 2.9² = 4.12 + 8.41 = 12.53
PA = √12.53 = 3.54 m
PB = 3.54 m