In the diagram, angle QPR = 90o, angle PSR = 90o and PR = 5 units. Find the length of QS.
5 tan 25o sin 65o
5 cos 25o sin 65o
5 tan 25o cos 65o
cos 25o cos 65o
5 cosec 25o
Correct answer is C
From \(\bigtriangleup\)QPR, < R = 180o - (25o + 90o)
180o - 115o = 65o
From \(\bigtriangleup\)PSQ, Sin 65o = \(\frac{QPR}{hyp}\) = \(\frac{PS}{5}\)
PS = 5 sin 65o
From \(\bigtriangleup\)PSR, tan = \(\frac{OPP}{adj}\) = \(\frac{PS}{QS}\)
but PS = 5 sin 65o
QS tan 25o = PS
QS tan 25o = 5 sin 65o
QS = \(\frac{5 sin 65^o}{tan 25^o}\)
= 5 tan 25o cos 65o
Similar Questions
If loga270 - loga10 + loga \(\frac{1}{3}\) = 2, what is the value of a?...
If \(\sin x° = \frac{a}{b}\), what is \(\sin (90 - x)°\)?...
Simplify \(\frac{1}{p}\) - \(\frac{1}{q}\) \(\div\) \(\frac{p}{q}\) - \(\frac{q}{p}\)...
Which of the following is a factor of 15 + 7x - 2x2...
What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?...
A box contains 40 identical balls of which 10 are red and 12 are blue. if a ball is selected at...
Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius...