 # NCERT Exemplar Solutions Class 10 Mathematics Solutions for Introduction to Trigonometry and Its Equations - Exercise 8.3 in Chapter 8 - Introduction to Trigonometry and Its Equations

Question 4 Introduction to Trigonometry and Its Equations - Exercise 8.3

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

Consider the vertical wall WL = x m (let)

Length of inclined ladder AW = 15 m ...[Given]

Ladder makes an angle of 60° with the wall.

\begin{array}{l} \therefore \frac{x}{15}=\cos 60^{\circ} \\ \Rightarrow \frac{x}{15}=\frac{1}{2} \\ \Rightarrow x=\frac{15}{2}=7.5 \end{array}

Hence, the height of the wall = 7.5 m.

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