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Crazy boy [7]
3 years ago
14

Patricia is riding a bus to her grandmother's, 66 miles away. On a map with a scale of 2 inches equals 12 miles, what is the dis

tance between her house and her grandmother's house?
Mathematics
2 answers:
vlada-n [284]3 years ago
8 0
5 1/2 inches in between their houses.
charle [14.2K]3 years ago
3 0
66/12=5.5, hope this helps..
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4 years ago
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andrezito [222]

Answer:

10.11 feet

Step-by-step explanation:

Let H ft be the elephant's height and x ft be the initial distance from naturalist to the elephant.

1. Naturalist takes a view to find the a 22 degree angle of elevation, then

\tan 22^{\circ}=\dfrac{H}{x}.

2. Naturalist moves backwards from the elephant pacing off a distance of 27 feet, the distance from naturalist to the elephant becomes (x+27) ft. He takes a second view and determines a new angle of elevation of 11 degrees. Then

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3. Solve the system of two equations:

\left\{\begin{array}{l}\tan 22^{\circ}=\dfrac{H}{x}\\\tan 11^{\circ}=\dfrac{H}{x+27}\end{array}\right.\Rightarrow \dfrac{x+27}{x}=\dfrac{\tan 22^{\circ}}{\tan 11^{\circ}}\approx 2.0785,\\ \\ \\x+27=2.0785x,\\ \\1.0785x=27,\\ \\x\approx 25.0347\ ft.

Then

H=x\cdot \tan 22^{\circ}\approx 10.11\ ft.

3 0
3 years ago
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svp [43]

Answer:

The answer would be c. 1440

Step-by-step explanation:

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