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shusha [124]
3 years ago
13

The dance committee of Pine Bluff Middle School earns 72$

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer: Continue... (:

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A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
3 years ago
16.
Pachacha [2.7K]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given tanθ = 8, find csc(θ)
In-s [12.5K]
Cosecθ=sq.rt of 65/8. hope it will help you
4 0
3 years ago
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Michele is purchasing new clothes for soccer practice for the upcoming season. She buys s pairs of shorts at $14.98 each. She al
Arte-miy333 [17]

Answer:

s14.98 + 92

Step-by-step explanation:

In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:

s14.98 represents how many shorts Michele bought and how much they cost

8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so

8 * 11.50 = 92

Therefore, by adding the shorts and shirt together, we get the expression:

s14.98 + 92

Hope this helps :)

7 0
3 years ago
What is the answer, step by step? 208x13
Nostrana [21]

Answer:

208*13= 2704

Step-by-step explanation

    +2

   208

<u> x     13</u>

    624

<u>+ 2080</u>

  2704

6 0
3 years ago
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