The angle of elevation from a park bench 724 feet from the base of the Gateway Arch in St. Louis, Missouri is 22°. How tall is the Gateway Arch, rounded to the nearest whole number?

Answers

Answer 1

Answer:

Gateway Arch is [tex]292.46[/tex] feet tall

Step-by-step explanation:

As we know,

the horizontal distance from the gate of the Arch to the bench [tex]= 724[/tex] feet

The angle of elevation is [tex]22[/tex] degree

Let H be the height of the gate be "H"

Tanθ= Perpendicular/Base

Substituting the given values in above equation, we get -

[tex]tan 22 = \frac{H}{724} \\H = 724 * tan 22\\H = 724 * 0.404\\H = 292.46[/tex]feet


Related Questions

Which equation is NOT equivalent to p- 7 = 22? Select all that apply.
A. p-p-7 = 22-p
B. p-7-p = 22 -
C. p - 7 + 22 = 22 - 7
O
D. p - 7 + 7 = 22 - 22
Ep-7 + 7 = 22 +7

Answers

Answer:

c and d

Step-by-step explanation:

i hope this help

How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer.

Answers

Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

-----------------------------------------

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

solve this problem plss
-2 x < 12

Answers

Answer:

x<14

Step-by-step explanation:

A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation

Answers

Answer:

31

Step-by-step explanation:

I rounded it down thats it

The equality for this equation is

175 + 8b >/=  425

B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides

8b >/= 250

Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says

**edited** I mean divide 8 from both sides.

b = ?  

That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.

if x = 7, then 7 = x is an example of which property

Answers

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

How to solve the equation: -2(-3x-4)=14​

Answers

Answer:

1

Step-by-step explanation:

-2(-3x-4)=14

6x + 8 = 14

6x= 14-8

6x=6

x=1


[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it​

Answers

Bdhdhdhfurjfjdhdhdhdhd

Simplify 5g + h - 3h + 2g

Answers

Answer:

7g-2h

Step-by-step explanation:

5g+2g+h-34 = 7g-2h

If p = 15, what is p ÷ 5 - 2?

Answers

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer

Express the fraction 1/15^7 using a negative exponent

Answers

Answer:

I think its 15^-7

Step-by-step explanation:

you can forget about the one and just look at the 15 and 7 which you get 15^-7

The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (1/15)⁷

As we know, from the definition of the integer exponent;  integer exponents are exponents that should be integers. It may be a positive or negative number.

After using the properties of the integer exponent:

= (15⁻¹)⁷

= 15⁻⁷

Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2

Find the y-intercept and write as a point (x, y)​

Answers

Answer:

(0,3)

Step-by-step explanation:

Answer:

The two points- (0,3) (-2,-1)

The y-intercept is (0,3)

The slope is 2

a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet

Answers

Answer: The length of the fence will be 150 feet

Step-by-step explanation:

The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula   a^2 + b^2 = c^2

120 feet will be a

90 feet will be for b  

this is because a and b are the two legs of the rectangle.

120^2 + 90^2 = c^2

14400 + 8100 = c^2

22500 = c^2

   c =√22500

 c= 150

Find the sum of 0.333......and 0.444....​

Answers

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444....​..

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

The sum of 0.333.... and 0.444... is 0.777......

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

9
2. What value of x makes the equation
3
113
=
true?

Answers

No the answer is false

Answer:

i don't understand what your asking, but i hope this helps

Step-by-step explanation:

the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4

what complex numbers graph is shown?​

Answers

Answer:

D.

Step-by-step explanation:

Took the test

Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!​

Answers

Answer: You'll have a quadrilateral with the following points

(5, -5)(4, -7)(6, -7)(8, -3)

A diagram is posted below.

===================================================

Explanation:

The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that

A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)

I started at the lower right corner and worked my way clockwise.

----------------

Let's shift the line y = x-2 up two units so that it moves to y = x

We'll need to shift every point of the quadrilateral up two units as well.

So we have these new point locations after the shifting has occurred.

A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)

----------------

Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.

So we can say [tex](x,y) \to (y,x)[/tex]

A point like (-3, 5) moves to (5, -3)

We have these new locations

A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)

----------------

The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.

Doing this leads to these locations

A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)

Check out the diagram below.

How do you write 9/10 as a percentage

Answers

#To make a fraction into percentage, the easy way is to times the fraction with 100

The percentage of 9/10

9/10 × 100 = 90

#and so, the percentage of 9/10 is 90%

Answer : 90%

Simplify: -5(3c-9) – 9c – 7c2 +5
What’s the answer?

Answers

Answer:

ANSWER: [tex]-7c^{2} -24c+50[/tex]

Step-by-step explanation:

PLEASE HELP ME I WILL DO ANYTHING!!!

Answers

Answer:

x=11

Step-by-step explanation:

the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x

step 1 combine like terms

180=15x+15

step 2 subtract each side by 15

165=15x

step 3 divide each side by 15

x=11

Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.

Answers

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.

Step-by-step explanation:

I need help with this

Answers

Answer:

B

Step-by-step explanation:

It's B

3^5 = 243

so the 5th root of 243 is 3

(x^7)^(1/5) = x^(7/5)

(y^10)^(1/5) = 7 ^(10/5) = 7^2

z^(21)^(1/5) = z^(21/5)

Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?

Answers

Answer:

1) 2 > -3 > -5

Step-by-step explanation:

that is mathematically correct

Please answer this correctly

Answers

Answer:

Correctly

Step-by-step explanation:

Bro isn’t it turtle

(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. find the correct mean.

Answers

i believe the correct mean is 21!

Answer: 21

Step-by-step explanation:

The student's mean of the 8 numbers is 20; the total of the numbers will be

8 x 20 = 160

If we take out the 17 the  total will be 160 - 17 = 143

If we then replace the 17 with 25 the total rises to 168.

168 divided by 8 = 21

38- Blank:_____=12c+4+3c

Answers

Answer:

38-15c-4

Step-by-step explanation:

38-x=12c+4+3c

38-x=15c+4

x=38-15c-4

what is the first step to answer -3=x+5

Answers

Answer:

Step-by-step explanation:

-3=x+5

-5. -5

-8=x

Whatever the person on put

I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
those who answer first will be marked brainliest !

Answers

Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

In the triangle xyz, zv is both the median and the altitude, if xy=9x+12 and xz=11x+2 and yz=4x+20 find the perimeter

Answers

Answer:

The answer is "2(12x+17)"

Step-by-step explanation:

The formula of the perimeter:

[tex]\to \bold{P=xy+yz+xz}[/tex]

       [tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]

if g(x)=f(1/3x), which statement is true?

A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g

B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g

C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G

D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G​

Answers

The answer to this question is C

Answer:

Step-by-step explanation:

Hope this Helps ;)

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