We are told that 21% of the total cans is 63 cans, therefore
100% of all the cans collected would be.
(63*100)/21=300 cans were collected in all
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
Answerrrrrrrrrrrrrrrr isssssssss: 5.38
(167.64 cm) · (1 inch / 2.54 cm)
= (167.64 · 1 / 2.54) inches
= 66.0 inches
The third option would be correct.
Hope this helps! ;)
