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.
3/4=0.75
0.75×500=375
375 of the 500 seats are filled
Speed is simply some number with some unit of speed at the end while velocity is speed with a direction.
The skydiver's velocity is 212 miles per hour downward.
The skydiver's speed is 212 miles per hour
If you have a graphing calculator one way to know you are right is put the left side in Y1 and the right side in Y2 then hit 2nd trace and intersection then find the intersection and the X value is your answer. If you don't have a graphing calculator then I'm sorry
Answer:
200 sq cm
Step-by-step explanation:
Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.
The front and back are both 10 x 20, so 200 each = 400
The left and right are 5 x 20, so 100 each = 200
The lateral surface area is 200 sq. cm.