A ladder long rests against a vertical wall so that its foot is from the base of the wall

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

Problem

A ladder

10\,\text{m}

long rests against a vertical wall so that its foot is

6\,\text{m}

from the base of the wall. The ladder makes an acute angle

\alpha

with the horizontal ground. (i) Compute

\sin \alpha

and

\cos \alpha

, writing each as a simplified fraction. (ii) Using the values found in part (i), calculate

T = \csc \alpha + \cot \alpha - \sec \alpha.