Question

an observer 1.5m tall is 28.5m away from achimney. the angle of elevation of the top of the chimney from her eyes is 45 digris , what is the height of the chimney​

Answer 1

$\huge\red{\mathfrak{\underline{\underline{Correct \: QuesTion}}}}$

An observer of 1.5m tall is 28.5m away from the top of a chimney. The angle of elevation of the top of chimney from her eyes is 45°.What us the height of Chimney?

$\huge\red{\mathfrak{\underline{\underline{AnSwEr}}}}$

$\large{\sf{\underline{\underline{StEp -bY-StEp-expLaNaTion}}}}$

$\large{\tt{\underline{\pink{GivEn:-}}}}$

• AB is chimney

• CD is observer

• <ADE is the angle of elevation, <E =90°

$\large{\tt{\underline{\blue{To \: Find :-}}}}$

• Height of chimney

$\large{\tt{\underline{\green{SoluTion:-}}}}$

Using the trigonometric ratios ;

$\large{\boxed{\boxed{\sf{\orange{Tan45° = 1}}}}}$

As we know that,

$\large\tt\ Tan45° = \frac{P}{B} \\ \\ \large\tt\ 1 \: = \: \frac{AE}{DE} \\ \\ \large\tt\ 1 \: = \: \frac{AE}{28.5}$

$\large\tt\ AE \: = \: 28.5m$

$\rule{300}{2}$

$\therefore\sf\green{Height \: of \: chimney \: = \: 28.5m}$