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Rus_ich [418]
3 years ago
11

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad

ow be if they are 4 feet tall?
Please help ASAP!!! :(
Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the  rules of trigonometry

\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}

\frac{a}{b}=\frac{c}{d}

\frac{35}{50}=\frac{4}{d}

35d=200

d=\frac{200}{35}

d=5.7ft  

Hence, The length of the person’s shadow is 5.7ft.

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3 years ago
If (-2) = -14 for f(x) = 3x -b; find b? -
Verizon [17]

Answer:

<em>The value of b is</em><em> 8</em><em>.</em>

Step-by-step explanation:

The given function is,

f(x) = 3x -b

The given data is,

f(-2)=-14

i.e when the value of x is -2, then the value of the function is -14.

Putting all the values,

\Rightarrow -14 = 3(-2) -b

\Rightarrow -14 = -6 -b

\Rightarrow b=-6+14

\Rightarrow b=8

Therefore, the value of b is 8.


5 0
3 years ago
Read 2 more answers
Can somebody PLEASE HELP ME??? trying to correct answers and i have no clue how to do this.
jek_recluse [69]

Answer:

613 inches

Step-by-step explanation:

Area right triangle = 10,710

Formula for area of a triangle = 1/2(base x height)

We need to find the base because height and area is given

Reverse divide by 2 by doing multiply by 2

10,710 x 2 = 21420

Revers multiply by 612 by dividing by 612

21420 / 612 = 35

Base = 35

Formula for hypotenuse = a² + b² = c²

In this case a = 35, b = 612, and c = hypotenuse

35² + 612² = c²

1225 + 374544 = c²

375769 = c²

Square root of 375769 = 613

Hypotenuse = 613

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
2 years ago
One of the roots of the equation x^2-13x+q=0 is 12. Find the other root in the value of the coefficient Q.
fenix001 [56]

Considering that 12 is a root of the function, the value of coefficient Q is of 12.

<h3>What does it means that x is a root of a function f(x)?</h3>


It means that f(x) = 0.

In this problem, the function is given by:

f(x) = x² - 13x + q.

Since 12 is a root, we have that f(12) = 0, hence:

12² - 13 x 12 + q = 0

q - 12 = 0.

q = 12.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

5 0
1 year ago
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