to measure a stone face carved on the side of a mountain, two sightings feet from the base of the mountain are taken. if the angle of elevation to the bottom of the face is and the angle of elevation to the top is , what is the height of the stone face?

Answers

Answer 1

The stone face is approximately 57.8512 feet in height.

What is the height?

Height is a mathematical term that refers to the vertical distance between an object's top and base.

Sometimes, it has the designation "altitude."

The measurement of an item along the y-axis in coordinate geometry is referred to as height in geometry.

So, let h be the stone's face's height.

One sight is 750 feet away from the mountain's base, and there is a 33° elevation difference between it and the bottom of the face.

The distance between the mountain's base and the base of the stone face

= 750 * tan33°

= 750 * 0.64940759319

= 487.055694898

A different location, which is 36° in elevation and 750 feet from the mountain's base, can be seen from the summit of the face.

The separation between the mountain's base and the top of the stone face = (h + 487.055694898) ft

Now, using trigonometry:

h + 487.055694898/750 = tan36°

h + 487.055694898 = 0.726542525 * 750

h = 544.906896004 - 487.055694898 = 57.8512011059 = 57.8512

Therefore, the stone face is approximately 57.8512 feet in height.

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Correct question:
To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the mountain are taken. if the angle of elevation to the bottom of the face is 33° and the angle of elevation to the top is 3636°​, what is the height of the stone​ face?


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A recipe that serves 8 calls for 2 ½ cups of flour. How many cups of flour should you use if you want to adjust the recipe to make 12 servings?

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Answer:

3 3/4 cups of flour

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

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3 3/4 cups of flour to adjust the receipt as described.

Find the value of x if 2x = 20 .​

Answers

Answer:

x = 10

Step-by-step explanation:

Divide both sides by 2.

(2x) / 2 = 20 / 2

x = 10

Answer:

The answer is going to be 10.

Step-by-step explanation:

1) Diving both sides by 2.

[tex]x = \frac{20}{2} [/tex]

2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.

[tex]x = 10[/tex]

Therefor, the answer for x is x = 10.

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.​

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hence (1,7.5) or (5,37.5) points

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Answers

Answer:

Those numbers are -18 and -2

Explanation:

(-18)*(-2)=36

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Answer:

x*y=36

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Step-by-step explanation:

Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
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Answers

Answer:

The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.

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Step-by-step explanation:

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Answers

Answer:

g > -1

Step-by-step explanation:

g + 6 > 5

You want g alone on the3 left side.

6 is being added to g, so subtract 6 from both sides of the inequality.

g + 6 - 6 > 5 - 6

g > -1

Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for their pizza. The following table shows the options available to customers.

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Explanation
Answer is ........:::::::::::::::: 192

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Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle with the length of leg a 5 inches.
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Answer:

C) 5√2

Step-by-step explanation:

Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
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Answers

9514 1404 393

Answer:

  48

Step-by-step explanation:

Put 16 where x is and do the arithmetic.

  f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)

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Answer:

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Step-by-step explanation:

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Answer:

x=0

Step-by-step explanation:

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To make the a and b values more easily identifiable, we can rewrite it like this:

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Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :

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I hope this helps!

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Answer:

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Step-by-step explanation:

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Answer:

$1,568.00

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Step-by-step explanation:

The first group had 4 people and shared 3 candy bars equally. The second group had 5 people and shared 4 candy bars equally. The third group had 8 people and shared 7 candy bars equally. The fourth group had 5 people and shared 3 candy bars equally.

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Answer:

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Step-by-step explanation:

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Answer:

D

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Answer:

Step-by-step explanation:

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Answers

Solution to Inequality #1:

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Solution to Inequality #2:

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Answers

Answer:

We have the inequality:

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An example to see this is suppose that these numbers represent money.

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Answer:

A graphical display of data using dots.

Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answer:

Slope:  − 4

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Step-by-step explanation:

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Answer:

Slope:  − 4

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Step-by-step explanation:

A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.

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Answer:

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A reflection over the y-axis

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Answer: Go to
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Answer:

i dont know but its b

Step-by-step explanation:

(1)/(8)-1(7)/(8) please help

Answers

Answer: -0.75

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Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

How can you evaluate 2 to the power of 0

Answers

Answer:

How about this: There's always an implicit 1 in the expansion:

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In the following diagram, BC is parallel to DE.
What is the measure of X?
Angles are not necessarily drawn to scale

Answers

Answer:

Your answer would be 37°

Step-by-step explanation:

Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.

We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.

As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.

Hope this helps you!

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