A tree casts a shadow 12 m long on level ground

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A tree casts a shadow 12 m long on level ground. The angle of elevation of the sun is

\theta

such that

\tan\theta = \dfrac{5}{12}

. Use this information to answer the following. (i) Find

\sin\theta

and

\cos\theta

. (ii) Hence compute

\csc\theta

and

\sec\theta

in simplest form. (iii) Determine the height of the tree.