This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Ili kukokotoa umbali kutoka E hadi A, tutatumia Theorem ya Pythagoras. Kwanza, tutapata jumla ya umbali wa mlalo na wima kati ya pointi hizo. Step 1: Kokotoa jumla ya umbali wa mlalo (horizontal distance) kutoka A hadi E. Umbali wa mlalo kutoka A hadi B ni 7m. Umbali wa mlalo kutoka C hadi D ni 5m. Jumla ya umbali wa mlalo ni: 7m + 5m = 12m Step 2: Kokotoa jumla ya umbali wa wima (vertical distance) kutoka A hadi E. Umbali wa wima kutoka B hadi C ni 8m. Umbali wa wima kutoka D hadi E ni 3m. Kwa kuwa E iko juu ya D, na C iko chini ya B, umbali halisi wa wima kati ya A na E ni tofauti ya umbali huu: 8m - 3m = 5m Step 3: Tumia Theorem ya Pythagoras. Sasa tuna pembetatu ya kulia (right-angled triangle) yenye miguu miwili ya 12m (mlalo) na 5m (wima). Umbali AE ni hypotenuse. Kulingana na Theorem ya Pythagoras, a^2 + b^2 = c^2: AE^2 = (12m)^2 + (5m)^2 AE^2 = 144m^2 + 25m^2 AE^2 = 169m^2 AE = sqrt(169m^2) AE = 13m Umbali kutoka E hadi A ni: 13m Tuma swali linalofuata 📸