Question

A pole 14 metre hight cast shadow of 10 metres . find the height of the pole if that cast shadow of 15 metre​

Answer 1

Step-by-step explanation:

$\bf \:Height \: of \: the \: pole =14m \\ \\ \bf \:Height \: of \: the \: pole \: shadow=10m \\ \\ \bf \:Height \: of \: the \: treeis21m \\ \\ \bf {\:\boxed{tan \theta = \frac{opposite \: side}{adjacent \: side} }} \\ \\\bf \: tanθ=adjacent \: side \: opposite \: side \\ \\ \bf \:Given, they \: are \: under \: similar \: conditions \\ \\ \bf \: ∴ they \: are \: equal \\ \\ \bf \: \implies\frac{14}{10} = \frac{h}{15} \\ \\ \bf \implies:10h = 210 \\ \\\bf \implies:h = \frac{210}{10} \\ \\ \bf{\implies \boxed{h = 21m}} \\ \\\bf \:\therefore Height \: of \: the \: tree \: is \: \underline{ \: {\bold{21m}} \: }$