A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle Θ. The area of the opening may be expressed as the function: A(Θ) = 16 sin Θ • (cos Θ + 1). If Θ = 30°, what is the area of the opening?

Question

anonymous · Answer

@wio @mathmale @Hero

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

simply plugin Θ = 30° in the Area function

anonymous · Answer

I did but the answers weren't the same as given.

anonymous · Answer

14.9 in2

 16.0 in2

 19.3 in2

 20.8 in2

ganeshie8 · Answer

make sure your calculator is in `degrees` mode

anonymous · Answer

Ah, ok thank you. Can you also look at this?

ganeshie8 · Answer

I'll give you a hint this time :  $(a+b)(a-b) = a^2-b^2$

and please limit to one question per post from next time :)

anonymous · Answer

Ok sorry. Ya. That's what I thought. So, in the end it will be tanΘ^2

ganeshie8 · Answer

Perfect !

ganeshie8 · Answer

wait a sec,

ganeshie8 · Answer

you should get $\tan^2 \Theta$,
and NOT $\tan \Theta^2$

ganeshie8 · Answer

both are two different things okay ?

anonymous · Answer

Yes, I was just typing quickly. My bad. Thank you very much!

ganeshie8 · Answer

np, yw :)