Question

The angel of elevation of a lader leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?

Answer 1

$\large{\frak{\red{QuEsTion}}}$

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?

$\large{\frak{\red{SoluTion}}}$

In Δ ABC

BC = 4.6 m

cos 60° = BC / AC

1 / 2 = 4.6 / AC

$\boxed { \bf AC = 9.2\: m}$

Hence, the length of ladder is 9.2 meters.