A ladder is placed against a vertical wall such that it reaches a window above the ground

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

A ladder is placed against a vertical wall such that it reaches a window

8\text{ m}

above the ground. The foot of the ladder is

6\text{ m}

away from the wall on level ground. (i) Show that the length of the ladder is

10\text{ m}

. (ii) For the angle

\alpha

that the ladder makes with the ground, find

\sin \alpha

\cos \alpha

and

\tan \alpha

. (iii) Using the value of

\tan \alpha

, calculate

\cot \alpha

and

\csc \alpha