In ( PQR ), ( R = 90^ ), (PR = 13

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

Problem

\triangle PQR

\angle R = 90^\circ

PR = 13\,\text{cm}

and

QR = 5\,\text{cm}

. (i) Determine

\angle P

correct to the nearest minute. (ii) Hence find the area of

\triangle PQR

correct to one decimal place. (iii) Point

S

lies on

PR

such that

RS = 7\,\text{cm}

. Using the value of

\angle P

obtained in part (i), calculate the length of

QS

correct to two decimal places.