One of the original Seven Wonders of the World, the Great Pyramid of Cheops was built about 2580 BC. Its original height was 480 feet 11 inches, but owing to the loss of it's topmost stones, it is now shorter. Find the current height of the Great Pyramid using the information given in the illustration.​

This value is approximate.

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

Explanation:

The entire paragraph of text given to you is not needed. It's interesting that the height used to be 480 ft 11 in, but we don't use that anywhere in our calculations to get the current shorter height. Instead we rely solely on the diagram.

Refer to the diagrams I have posted below. Figure 1 is the same diagram more or less, but I've added the variables x and h.

Both h and x are in feet.

I've also added the point labels A through E.

I've split figure 1 into two pieces. Figure 2 focuses on triangle ADE and figure 3 focuses on triangle BDE.

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

Let's put our attention on triangle ADE in figure 2.

Set up the tangent ratio shown below and solve for h.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{A}) = \frac{\text{DE}}{\text{AD}}\\\\\tan(40.3) = \frac{h}{x+200}\\\\h = (x+200)\tan(40.3)\\\\[/tex]

Now move onto triangle BDE in figure 3.

Set up the tangent ratio and apply substitution.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{B}) = \frac{\text{DE}}{\text{BD}}\\\\\tan(46.27) = \frac{h}{x+100}\\\\\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\[/tex]

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

Let's solve for x.

[tex]\tan(46.27) = \frac{(x+200)\tan(40.3)}{x+100}\\\\(x+100)\tan(46.27) = (x+200)\tan(40.3)\\\\x\tan(46.27)+100\tan(46.27) = x\tan(40.3)+200\tan(40.3)\\\\[/tex]

[tex]x\tan(46.27)-x\tan(40.3)=200\tan(40.3)-100\tan(46.27)\\\\x(\tan(46.27)-\tan(40.3))=200\tan(40.3)-100\tan(46.27)\\\\x=\frac{200\tan(40.3)-100\tan(46.27)}{\tan(46.27)-\tan(40.3)}\\\\x\approx 329.87238475414\\\\[/tex]

Use this to find h.

[tex]h = (x+200)\tan(40.3)\\\\h \approx (329.87238475414+200)\tan(40.3)\\\\h \approx 449.364461010933\\\\h\approx 449.364[/tex]

The height of the pyramid is currently 449.364 feet approximately.

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

Lastly we'll convert to feet,inches format since the "480 ft 11 in" figure is in that format.

h = 449.364 ft

h = 449 ft + 0.364 ft

h = 449 ft + (0.364 ft)*(12 in/1 ft)

h = 449 ft + 4.368 in

h = 449 ft + 4 in

h = 449 feet, 4 inches

if diameter of a bagel is 4.2inches what is radius in inches

Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.

Explain why the F-ratio is expected to be near 1.00 when the null hypothesis is true.

Will give brainlist if truly correct
2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.

Select the correct answer. What is the simplified form of 377-577? O A – 287 O B. 287 Oc. -√14 OD. 157​

ANSWER CORRECTLY FOR 25 POINTS (AGAIN..)
On the verge for asking for someones discord just for all the answers smh
Fill in the table using this function rule.
4=4x+4
x | y
1 |
2 |
7 |
9 |

What is the slope intercept form of (-4,-5); and slope 1/2

graph a line x + y = -1

What’s it the answer to this problem?

4n^2 - 16n + 15 in vertex form

Tormod bought a perfectly square table but found out it won't fit through his study
door. To solve the problem, he reduces its width by 9cm but also extends its length by
9cm. Its new area is 309cm?
What was the area of his original square table?

Algebra 1 - Midterm Part 2 - Common
1. When Joe graduated from college, he had $1000 in his savings
account. When he began working, he decided he would add $120
per month to his savings account.
a. Write a linear equation to
compute the amount of
money, y, in Joe's account
after x months of saving.
ons of saving
b. Graph the line.
c. Use the equation to compute the amount of money in Joe's
account after 6 months.
So is among
d. Joe needs $3160 for a down payment for a car. How long will
it take for Joe's account to reach this amount?

O
3
1 point
Select the correct symbol to compare the two numbers.
0.934 0 0.93

11. If the perimeter of the given triangle is more than 22 cm and less than or equal to 30cm. express it in inequality and solve it.​

Find the value of x
X + 88
850
HELP

PLEASE HELP!!!
Pete estimates that he has spent $64.50 on supplies for his lawn mower. He charges $12 per lawn for his service. Write a linear model in the form y=mx+b where y represents the amount of profit Pete earns for mowing x number of lawns.

Find the value of x.

Find the greatest common factor of
36, 48, 80.

What is the quotient of 13divide 8

While shopping, Kyla found a dress that she would like to purchase, but it costs $49.50 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $49.50 to buy the dress.​

F = m x a solve for a

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

-1.2(10 - 5c) = -14c - 52

What is the value of f(x) when x=3?
0-3
-2
ооо
4

Sophia wishes to retire at age 65 with $1,700,000 in her retirement account. When she turns 28, she decides to begin depositing money into an account with an APR of 9% . What is the monthly deposit that Sophia must make in order to reach her goal? Round your answer to the nearest cent
if necessary.

At Thomas High School, 200 students go to school by their own vehicle. If this number of students is 40% of school enrollment, then how many students are there in the school altogether?​

You helped 3.6 customers per half hour yesterday so I helped how many customers in 7,.5 hours yesterday

Compute the mode, median, and mean for 23455

Simplify 0.4(−4.5)......................................

Brainliest if correct