Question : A ladder is resting against a wall. The angle between the foot of the ladder and the wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

Option 1: 5.4

Option 2: 3.6

Option 3: 14.4

Option 4: 7.2


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 7.2


Solution :

Let AC be the length of the ladder.
BC = 3.6 m
In $\triangle$ BAC,
$\cos 60^{\circ} = \frac{BC}{AC}$
⇒ $\frac{1}{2} = \frac{3.6}{AC}$
⇒ AC = 2 × 3.6 = 7.2 m
Hence, the correct answer is 7.2 m.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books