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
Huu ni mfano wa pembetatu mraba, ambapo ngazi inawakilisha hypotenuse, ukuta unawakilisha upande mmoja, na umbali kutoka ukuta hadi mguu wa ngazi unawakilisha upande mwingine. Tutatumia Theorem ya Pythagoras. Step 1: Tambua vipimo vilivyotolewa. Urefu wa ngazi (hypotenuse, c) ni 10 m. Umbali kutoka ukuta hadi mguu wa ngazi (upande mmoja, a) ni 6 m. Urefu ambao ngazi inafikia ukutani (upande mwingine, b) ndio tunatafuta. Step 2: Tumia Theorem ya Pythagoras. Theorem ya Pythagoras inasema a^2 + b^2 = c^2. Step 3: Badilisha thamani zinazojulikana kwenye fomula. 6^2 + b^2 = 10^2 Step 4: Tatua kwa b. 36 + b^2 = 100 b^2 = 100 - 36 b^2 = 64 b = sqrt(64) b = 8 m Urefu ambao ngazi ilifikia ukutani ni 8 m. Tuma swali linalofuata 📸