Question

a pole ab is 20m high and bc, its shadow on the ground. is 20root3m long find the sun's altitude. ​

Answer 1

Question :-

• A pole ab is 20m high and bc, its shadow on the ground. is 20root3m long find the sun's altitude.

Answer :-

• Sun altitude = 30°

Given :-

• Hight of a pole AB = 20m

• Shadow on the ground of a pole =$20 \sqrt{3}$

To find :-

• Find the sun's altitude = ?

Solution :-

AB = 20m

BC = $20 \sqrt{3}$

Now angle ,

$\large { \underline{ \overline {\boxed{ \sf \angle abc = { \tan }^{ - 1} \bigg( \frac{ab}{bc} \bigg)}}}}$

$\\ \large\sf \angle abc = { \tan }^{ - 1} \bigg( \frac{20}{20 \sqrt{3} } \bigg) = { \tan}^{ - 1} \bigg( \frac{1}{ \sqrt{3} } \bigg)$

$\large \sf {\boxed{ \angle abc = \frac{ \pi}{6} }}$

$\therefore$ Sun altitude is 30°