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seraphim [82]
2 years ago
14

A tower that is 125 feet tall casts a shadow 173 feet long find the angle of elevation of the sun to the nearest degree

Mathematics
1 answer:
Alik [6]2 years ago
7 0

Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.

<h3>What is the Tangent Ratio?</h3>

In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.

Given the following:

  • Angle of elevation = ∅
  • Opposite length = 125 ft
  • Adjacent length = 172 ft

Apply the tangent ratio:

tan ∅ = 125/172

tan ∅ = 125/172

∅ = tan^(-1)(125/172)

∅ ≈ 36°

Learn more about the tangent ratio on:

brainly.com/question/4326804

#SPJ1

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The sum of the interior angles of Michael’s polygon equals 180°. The sum of the interior angles of Cary’s polygon equals 360°. H
Lady_Fox [76]
Recall that for a polygon to have 180° as the sum of its interior angles, then it must have three sides and thus a triangle. And similarly, for a polygon to have a sum of 360°, it must have four sides or it is a quadrilateral.

[Note that for larger angles, we can apply the formula 180(n - 2) to find the total sum of the interior angles. n is the number of sides]

Now, since we're comparing a four-sided and three-sided polygon, this means that they only differ by 1 side. 

Answer: A. 1 side
8 0
3 years ago
G=x-c/x. for x<br><br>how do yoy make this an equation for x? help
zzz [600]
1.
\displaystyle \text{if }\quad G=x-  \frac{C}{x} \\\\

x \neq 0

Multiply both sides by x:

\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C

Subtract from both sides Gx:
Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0

Then solve this equation:

\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm  \sqrt{G^2+4C} }{2}

2.
\displaystyle\text{if}\quad G= \frac{x-C}{x}

x \neq 0

Multiply both sides by x:

Gx=x-C

Subtract from both sides Gx:

x-C-Gx=0

Then solve this equation:

\displaystyle x-Gx-C=0\\x(1-G)=C\\x= \frac{C}{1-G}




7 0
3 years ago
Shane's money is 3:11 if Isabella has 33 dollars how much do shane and Isabella have together
grin007 [14]
3:11
S:I
?:33
So if Isabella has 33 dollars that means they did 11x3=33 so to find Shanes you would do 3x3=9 then add the two together which is $42 hope this helps
3 0
3 years ago
What values of a and b would make the equation shown have infinitely many solutions? 3x=ax+b
Wittaler [7]
Infinitely many solutions means that you have the same thing on both sides of the equation no matter what value of x you plug in, right?

We just need both sides to be 3x then, correct?

If a were equal to 3 and b were equal to 0, we'd have

3x = (3)x + 0

Which is essentially 3x = 3x

So that means a = 3 and b = 0 must work!
Let's say x = 5

3(5) = 3(5) + 0

15 = 15 + 0

15 = 15

That means that a = 3 and b = 0 is your final answer :)
7 0
3 years ago
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