If the sides are 9 the height will be 7.8
The trigonometry ratio that we shall use to solve the question will be:
tan θ=opposite/adjacent
where:
opposite=8.9 cm
adjacent =x cm
θ=55°
plugging the values and simplifying we obtain:
tan 55=8.9/x
thus
x=8.9/tan55
x=6.23 cm~6.2 cm
Answer: A
Its okay, the first half is completely irrelevant. All that matters is x and y. y = 16, because y is how much space the books take up. x = 8, since x is the number of books. All you have to find is the proportions. It is most likely talking about the proportions of the books, so you would need to find the length if each book. You know they will all be the same because it was previously mentioned each book is the same size. So the equation is:

Since 16/8 is 2, you would get 2in/book.
Hope that helps!
Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means
=
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L
= 14 and W
= 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L
= 10.5 and W
= 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵
=
= 
∵
=
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is