In , right-angled at , and the hypotenuse measures . What are the lengths of and…

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

\triangle PQR

, right-angled at

R

\tan P = \dfrac{3}{4}

and the hypotenuse

PQ

measures

25\,\text{cm}

. What are the lengths of

PR

and

QR

respectively? (a)

PR = 15\,\text{cm},\; QR = 20\,\text{cm}

(b)

PR = 12\,\text{cm},\; QR = 9\,\text{cm}

(c)

PR = 20\,\text{cm},\; QR = 15\,\text{cm}

(d)

PR \approx 16.6\,\text{cm},\; QR = 18.75\,\text{cm}