# RD Sharma Solutions Class 10 Mathematics Solutions for Some Applications Of Trigonometry Exercise 12.1 in Chapter 12 - Some Applications Of Trigonometry

Question 1 Some Applications Of Trigonometry Exercise 12.1

A ladder 15 metres long reaches the top of a vertical wall. If the ladder makes an angle of 60o with the wall, find the height of the wall.

Solution:

A common notion in trigonometry, specifically, is the angle of elevation, which has to do with height and distance. It is described as an angle formed by the horizontal plane and an oblique line between the observer's eye and a target above it.

Given,

The length of the ladder = 15m = AO

Let the height of the wall be h metres.

And the horizontal ground taken as OX.

Then from the fig. we have,

In right ΔABO, using trigonometric ratios

cos (60o) = AB/AO

1/2 = h/ 15

h = 15/2

h = 7.5m

Hence, the height of the wall is 7.5m

Related Questions

Lido

Courses

Teachers

Book a Demo with us

Syllabus

Maths
CBSE
Maths
ICSE
Science
CBSE

Science
ICSE
English
CBSE
English
ICSE
Coding

Terms & Policies

Selina Question Bank

Maths
Physics
Biology

Allied Question Bank

Chemistry
Connect with us on social media!