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

Question

Tju [1.3M]

3 years ago

11

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)

Mathematics

1 answer:

faust18 [17] · Answer 1 · 2022-05-04T07:12:40+03:00

faust18 [17]3 years ago

4 0

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.