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

3.46 meters

Explanation:

In the right triangle, Using Trigonometry

`\tan 60^\circ = (6)/(x) \\$Cross multiply\\x\tan 60^\circ =6\\$Divide both sides by \tan 60^\circ\\x=(6)/(\tan 60^\circ)\\\\x=3.46$ meters`

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