Jump to

- GST
- Banking
- Shares and Dividends
- Quadratic Equations in One Variable
- Factorization
- Ratio and Proportion
- Matrices
- Arithmetic and Geometric Progression
- Reflection
- Section Formula
- Equation of Straight Line
- Similarity
- Locus
- Circles
- Constructions
- Mensuration
- Trigonometric Identities
- Trigonometric Tables
- Heights and Distances

A ladder is placed against a wall such that it reaches the top of the wall. The foot of the ladder is 1.5 metres away from the wall and the ladder is inclined at an angle of 60^{0} with the ground. Find the height of the wall.

Answer:

**Solution:**

Here, ladder is considered as the hypoteneuse of the right triangle ABC. As tan θ is P/B, so we can use this trignometric ratio to find the height of the wall.

Consider AB as the wall and AC as the ladder whose foot C is 1.5 m away from B

Take AB = x m and angle of inclination is 60^{0}

We know that

tan θ = AB/CB

Substituting the values

tan 60^{0} = x/1.5

So we get

√3 = x/1.5

By cross multiplication

x = √3 × 1.5 = 1.732 × 1.5

x = 2.5980 = 2.6

**Hence, the height of wall is 2.6 m.**

Related Questions

Was This helpful?

Exercises

Chapters

Lido

Courses

Quick Links

Terms & Policies

Terms & Policies

2022 © Quality Tutorials Pvt Ltd All rights reserved