Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
Answer:
Step-by-step explanation:
sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) – sin2(x) = 1 – 2 sin2(x) = 2 cos2(x) – 1. Now I am not sure if this is right but I remember another similar formula. Here is the correct formula cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
cos² x + sin² x = 1
Answer:
[see below]
Step-by-step explanation:
We can tell that for every hour passed the distance traveled by the train would increase by 40 miles.
We can use the equation d = 40t to determine the values of the table. The 'd' is total distance and 't' is the number of given hours.
Two hours:
d = 40(2)
d = 80
Three Hours:
d = 40(3)
d = 120
Four Hours:
d = 40(4)
d = 160
Hope this helps.
