SOLUTION: the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]

Algebra ->  Trigonometry-basics -> SOLUTION: the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]      Log On


   



Question 939477: the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]
------------
Draw the picture so you can see what you are doing.
Note: The diagonal forms two right triangles.
48 deg is the size of the base acute angle formed by the base
and the diagonal.
tan(48) = 1.11 so the base must be the smaller side (16 cm)
-------
Ans: longer side = 16*1.11 = 17.76 cm
==============
Cheers,
Stan H.
------------