MP Board · Class 10 · Mathematics · Applications of TrigonometryA ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
Let the height of the wall be $h$. The length of the ladder is the hypotenuse, which is $15$ m. The angle made by the ladder with the vertical wall is $60^\circ$. Therefore, $\cos 60^\circ = \frac{\text{Height of the wall}}{\text{Length of the ladder}} = \frac{h}{15}$. Since $\cos 60^\circ = \frac{1}{2}$, we have $\frac{1}{2} = \frac{h}{15}$, which gives $h = \frac{15}{2} = 7.5$ m.
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Applications of Trigonometry.