Question

A ladder is placed against a wall such that it reaches the top of the wall at a height of 6 meters. The ladder is inclined at an angle of 60 degrees from the ground. How far is the ladder from the foot of the wall?

(Please show work)

Answer 1

Answer:

3.46 meters

Step-by-step explanation:

In the right triangle, Using Trigonometry

$\tan 60^\circ = \dfrac{6}{x} \\ Cross multiply\\x\tan 60^\circ =6\\ Divide both sides by \tan 60^\circ\\x=\dfrac{6}{\tan 60^\circ}\\\\x=3.46 meters$

The ladder is 3.46 meters from the foot of the wall.