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KATRIN_1 [288]
4 years ago
5

A vertical pole 5 feet long casts a shadow of 2 feet.if at the same time a nearby tree casts a shadow of 10 feet, how tall is th

e tree? Please show work
Mathematics
1 answer:
ohaa [14]4 years ago
7 0
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as

h1/s1 = h2/s2

where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree

Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
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In a plane, line N is parallel to line O, line O is parallel to P, and line L is perpendicular to line N. Which must be true? N.
Leni [432]
The <u>correct answer</u> is:

Line L must be perpendicular to both line O and line P as well.

Explanation:

Since N, O and P are all parallel, any line that intersects N will intersect O and P at the same angle.  Since L is perpendicular to N, intersecting at a right angle, this means it must be perpendicular to O and P also.
7 0
3 years ago
you are making a photo quilt by transferring photos to squares of fabric. each rectangle is 3 inches long and 2 inches wide. the
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Do u know the no. of photos  be transferred
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3 years ago
Brian arrives to the College Ave student center bus stop at 5:00 PM. The waiting time for the bus to Busch campus is a random va
tresset_1 [31]

Answer:

Step-by-step explanation: The solution has been done with help of Bayes Rule all the steps are done with explanations. If you still have any query i will love to answer that. Please Find Attached the solution.

8 0
3 years ago
Here please helppppppppppppp
skelet666 [1.2K]

Answer:

  • Part 2 - ∠EGF = 105°
  • Part 3 - ∠D = 65
<h3>________________________________________________</h3>

Step-by-step explanation for Part-2:

<u>We know that:</u>

  • ∠EFG = 32°
  • ∠AEG = 137°
  • ∠EFG + ∠FGE + ∠GEF = 180°

<u>Work:</u>

  • ∠EFG + ∠FGE + ∠GEF = 180°
  • 32 + ∠FGE + (180 - 137) = 180°
  • => 32 + ∠FGE + 43 = 180°
  • => 75 + ∠FGE = 180°
  • => ∠FGE = 180 - 75
  • => ∠FGE = ∠EGF = 105°

Hence, the measure of ∠EGF is 105°.

<h3>________________________________________________</h3>

Step-by-step explanation for Part-3:

<u>We know that:</u>

  • CD = CA
  • This triangle is an isosceles triangle.
  • ∠D = ∠A

<u>Work:</u>

  • 50 + ∠D + ∠A = 180
  • => ∠D + ∠D = 130
  • => 2∠D = 130
  • => ∠D = 130/2
  • => ∠D = 65

Hence, the measure of ∠D is 65°

<h3>________________________________________________</h3>
7 0
2 years ago
The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesi
ipn [44]

Answer:

Half of year 2043

Step-by-step explanation:

The function is: f(x) = 3.5√x + 38

where f(x) represents the percentage of U.S. women in the labor force x years after 1960.

Replacing f(x) = 70 and isolating x, we get:

70 = 3.5√x + 38

3.5√x = 70 - 38

√x = 32/3.5

x = 9.14²

x = 83.5

This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043

3 0
3 years ago
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