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Vesnalui [34]
3 years ago
6

A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what

is the approximate height of the tree?
Mathematics
1 answer:
Alchen [17]3 years ago
7 0

Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.

Hence, the height of tree = 15 ft. 6 inches

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Will give brainlist if right! Number 13 and 14 plz
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Answer:

13 - 14

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Step-by-step explanation:

1428/17/6=14

5 0
3 years ago
Angle sum theory find Y
kompoz [17]
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

  • Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

  • 115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

  • Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

  • 90 + 65 + y = 180

Combine like terms

  • 155 + y = 180

Subtract 155 from both sides

  • y = 25

This means that the angle y is 25 degrees.

4 0
2 years ago
How do I find this answer? <br> Not just looking for answer also need explanation
MatroZZZ [7]
55: All triangles measures are equal to 180 degrees. By taking 180 - 75 - 50 you get the angle measure for angle C, which is 55. You know the triangles are congruent, so
8 0
4 years ago
Ricardo spends 8/9 hr. reading the paper. He spends 1/4 of the time reading world news and splits the remaining time equally bet
lapo4ka [179]
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He spends 1/4 of the time reading world news. That is =  1/4 * 8/9 =  2/9 hour

Splits the remaining time equally.  Remaining time =  8/9 - 2/9 =  6/9

Splitting it equally =  6/9  divided by 2 =  6/9  * 1/2 =  3/9  = 1/3

Time spent reading comic is = 1/3 hour

I hope this helps.
5 0
3 years ago
I need help in the middle one
azamat
Which one is the middle one ?
4 0
3 years ago
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