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worty [1.4K]
3 years ago
12

The flagpole casts an 8 foot shadow as shown in the table at the same time the oak tree casts 12-foot shadow how tall is the oak

tree
Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

How tall is the flagpole?

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Tim count his friends fingers by fives. he counts the fingers on six hands. what number does he say?
Fudgin [204]
6*5= 30 fingers, so tim would say there are 30 fingers.
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3 years ago
Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
2 years ago
Lucy took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.80 plus $3 per mile. The total fare
prisoha [69]
If you do 39.80/ 3 it would give you 13.2667miles and since the tip was not added that’s when you don’t do anything with that number and 3 because every mile you pay 3$
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3 years ago
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In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the
snow_lady [41]
To get the answer we can use proportion.
30----------100%
12-----------x
Cross multiply now
30x=12*100%
30x=1200% /:30 (divide both sides by 30)
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100%-40%=60% - it's the answer
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Please help oh god please help please I beg you ill give all my points and mark brainliest please oh god please help help
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Answer:

I think it's the top right

Step-by-step explanation:

Just take it trust me

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