please help, The picture shows a triangular island.
Which expression shows the value of q?
A. r cos 55° , B. r sin 55°, C. s/sin55°, D. s/cos55°

Question

please help,  The picture shows a triangular island. 
Which expression shows the value of q? 
A.  r cos 55° , B. r sin 55°, C. s/sin55°, D. s/cos55°

anonymous · Answer

attachment

hartnn · Answer

do you know the definitions of sin and cos ratios ?

anonymous · Answer

sin opposite/hypot.
cos adj/hypot. ?

hartnn · Answer

correct! 
so, can u find 
sin 55 and cos 55 ?

hartnn · Answer

what is adjacent side of 55 degree angle
what is hypotnuse 
and what will be cos 55 then ?

anonymous · Answer

adjacent is s, hypotnuse is q, so s/q

hartnn · Answer

good!!
cos 55 = s/ q

so, q =.... ?

anonymous · Answer

cos 55 times s?

hartnn · Answer

not actually, 
first multiply 'q' on both sides, what u get ?

anonymous · Answer

s divided by cos 55 ?

hartnn · Answer

correct! :)

anonymous · Answer

yay thank you!

hartnn · Answer

welcome ^_^