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Find the missing side. |
Answer» <html><body><p><img align="absmiddle" alt="\huge{\underline{\underline{\bf{\pink{★Given}}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Chuge%7B%5Cunderline%7B%5Cunderline%7B%5Cbf%7B%5Cpink%7B%E2%98%85Given%7D%7D%7D%7D%7D" title="\huge{\underline{\underline{\bf{\pink{★Given}}}}}"/></p><p></p><p>◉ <a href="https://interviewquestions.tuteehub.com/tag/length-1071524" style="font-weight:bold;" target="_blank" title="Click to know more about LENGTH">LENGTH</a> of ladder, PR is 10m</p><p>◉ Length of ground, PQ is 6m</p><p>◉ Length of wall, QR is h</p><p>◉ PQ is horizontal and QR is vertical </p><p></p><p></p><p></p><p></p><p></p><p><img align="absmiddle" alt="\huge{\underline{\underline{\bf{\pink{★To \:find}}}}}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Chuge%7B%5Cunderline%7B%5Cunderline%7B%5Cbf%7B%5Cpink%7B%E2%98%85To%20%5C%3Afind%7D%7D%7D%7D%7D" title="\huge{\underline{\underline{\bf{\pink{★To \:find}}}}}"/></p><p></p><p>◉ <a href="https://interviewquestions.tuteehub.com/tag/height-1017806" style="font-weight:bold;" target="_blank" title="Click to know more about HEIGHT">HEIGHT</a> of wall (QR) in meter.</p><p></p><p></p><p></p><p></p><p></p><p><img align="absmiddle" alt="\huge{\underline{\underline{\bf{\pink{★Solution}}}}}" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%5Chuge%7B%5Cunderline%7B%5Cunderline%7B%5Cbf%7B%5Cpink%7B%E2%98%85Solution%7D%7D%7D%7D%7D" title="\huge{\underline{\underline{\bf{\pink{★Solution}}}}}"/></p><p></p><p>According to the given points, diagram is in a shape of right angled triangle.</p><p></p><p>so, we use a formula to find our answer-</p><p></p><p></p><p><img align="absmiddle" alt="\huge{\underline{\underline{\bf{\blue{★Formula\: Used★}}}}}" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%5Chuge%7B%5Cunderline%7B%5Cunderline%7B%5Cbf%7B%5Cblue%7B%E2%98%85Formula%5C%3A%20Used%E2%98%85%7D%7D%7D%7D%7D" title="\huge{\underline{\underline{\bf{\blue{★Formula\: Used★}}}}}"/></p><p></p><p><img align="absmiddle" alt="{\underline{\sf{\red{[Pythagoras\: theorem => height ²\:+\:base² = \: hypotenious ²]}}}}" class="latex-formula" id="TexFormula5" src="https://tex.z-dn.net/?f=%7B%5Cunderline%7B%5Csf%7B%5Cred%7B%5BPythagoras%5C%3A%20theorem%20%3D%3E%20height%20%C2%B2%5C%3A%2B%5C%3Abase%C2%B2%20%3D%20%5C%3A%20hypotenious%20%C2%B2%5D%7D%7D%7D%7D" title="{\underline{\sf{\red{[Pythagoras\: theorem => height ²\:+\:base² = \: hypotenious ²]}}}}"/></p><p></p><p></p><p></p><p>[In the given <a href="https://interviewquestions.tuteehub.com/tag/picture-600284" style="font-weight:bold;" target="_blank" title="Click to know more about PICTURE">PICTURE</a>, QR is height, PQ is <a href="https://interviewquestions.tuteehub.com/tag/base-892693" style="font-weight:bold;" target="_blank" title="Click to know more about BASE">BASE</a> and PR is hypotenious]</p><p></p><p></p><p></p><p><img align="absmiddle" alt="{\underline{\bf{\pink{Substituting\:values\:in\: theorem}}}}" class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%7B%5Cunderline%7B%5Cbf%7B%5Cpink%7BSubstituting%5C%3Avalues%5C%3Ain%5C%3A%20theorem%7D%7D%7D%7D" title="{\underline{\bf{\pink{Substituting\:values\:in\: theorem}}}}"/></p><p></p><p></p><p>=> height²+ base² = hypothesis²</p><p>=> h² + 6² = 10²</p><p>=> h² + 36 = 100</p><p>=> h² = 100-36</p><p>=> h² = 64 </p><p>=> h = √64</p><p>=> h = 8m</p><p></p><p></p><p><strong>[</strong><strong>Hence, height of wall ( QR) is 8m</strong><strong> </strong><strong>]</strong><strong> </strong><strong>✓</strong></p></body></html> | |