Question
Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. Find the geometric mean of the pair of numbers.
A. 20 ft
B. 38.4 ft
C. 55 ft
D. 25 ft
I think D.
A. 20 ft
B. 38.4 ft
C. 55 ft
D. 25 ft
I think D.
Answers
The simple proportion for your similar triangles:
h/48 = 5/12
12h = 240
h = 20
or by straight logic:
The mirror is 4 times the distance away from the pole as she is from the mirror.
So the flage pole is 4 times her height, or 20 ft
" Find the geometric mean of the pair of numbers"
Which pair of numbers ?
h/48 = 5/12
12h = 240
h = 20
or by straight logic:
The mirror is 4 times the distance away from the pole as she is from the mirror.
So the flage pole is 4 times her height, or 20 ft
" Find the geometric mean of the pair of numbers"
Which pair of numbers ?
I've done this before :)
H/48 = 5/12
Cross multiply
12h = 240
H = 240/12
H = 20
I hope this help whoever is reading this answer :)
H/48 = 5/12
Cross multiply
12h = 240
H = 240/12
H = 20
I hope this help whoever is reading this answer :)
h=20 so it is A