Answer:
25 units
Step-by-step explanation:
Applying Pythagoras' Theorem,
(BD)^2= (CD)^2 + (BC)^2
(BC)^2= 65^2 - 60^2
(BC)^2= 625
BC= √625= 25
Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:

Similarly we can do for large triangle containing flagpole:

We see that these two equations have same left sides. This means that their right sides must also be same:

We can solve for A:

Height of flagpole is 48 feet.
Answer:
Ray: A
Vertex:AC
Angle:ABX
Parallel lines:CFB FCB BCF
Parallel planes:BCC
Coplanar points:A F
Colliner points:C D E F
Segment addition postulate:ANB
Prependicular:????
Hello.
First, let the number be r.
5 times r is written like this:

Now, add 45:

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

In order to solve this equation, we need to add 85 and 140:

Now, subtract 45 from both sides:



The last step is to divide both sides by 5:

Therefore, the answer is

I hope it helps.
Have a nice day.

(1/3)x =16 (x represents the total number of books he has)
x=48