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shtirl [24]
3 years ago
15

A student visiting the Sears Tower Skydeck is 1353 feet above the ground. Find the distance the student can see to the horizon.

Use the formula to approximate the distance d in miles to the horizon when h is the height of the viewer’s eyes above the ground in feet. Round to the nearest mile. A. 45 miles B. 601 miles C. 36 miles D. 1010 Miles

Mathematics
2 answers:
Anna007 [38]3 years ago
5 0

Answer:

Option A. 45 miles

Step-by-step explanation:

A student visiting the Sears Tower Skydeck is 1353 feet or 0.25625 miles above the ground.

We have to find the distance the student can see to the horizon.

We can see in the figure attached r is the radius of the earth.

h is the height of the tower and x is the distance to the horizon.

Now we can calculate the distance x by applying Pythagoras theorem in right angle ΔTOH. (Radius of the earth OH ⊥ tangent distance to the horizon TH)

(h + r)² = r² + x²

By putting the values in the formula

h = height of the tower = 0.25625 miles

r = radius of the earth = 3958.8 miles

(3958.8 + 0.25625)²= x² + (3958.8)²

x² = (3959.05)² - (3958.80)²

x² = 15674126.40 - 15672097.40

x² = 2029

x = √2029

x = 45.04 ≈ miles.

Therefore Option A. 45 miles is the answer.

kumpel [21]3 years ago
4 0
601 miles ok cause it goes from the area by "A=BxH or A=BH
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AURORKA [14]

Answer:

1. 1.25

2. 0.8

Step-by-step explanation:

1. 2 : 2.5 = 1.25 Ratio from P To Q - 1 : 1.25

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1. All you have to do is find the corresponding sides(meaning similar) and the compare them from one to another.

Example:

I know 5 and 4 are corresponding sides because they are similar. The ratio is Q to P we can find by writing them down. It can be written like this.

5:4 is so when we multiply this ratio from any side of Q we will get the correpoding side from P.

5:4 ratio = 1 : 0.8 - So the ratio is 0.8

There this is another ratio that we can compare to.

Now let’s say we need to find when the one of the P side is 4 and what would be the corresponding side.

4 x 1.25(ratio from P to Q) = 5

We can also find when the P side is 3 what would be Q’s corresponding side. Which is the ratio from P to Q or 1.25.

So just multiply 3 by 1.25.

3 x 1.25 = 3.75

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3 years ago
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I will givee Brainlist if anyone answers all these questions
vaieri [72.5K]
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Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squ
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The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.
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16 2/5 - 9 2/3 = show work
fgiga [73]

Answer:

Conversion a mixed number 16 3

8

to a improper fraction: 16 3/8 = 16 3

8

= 16 · 8 + 3

8

= 128 + 3

8

= 131

8

To find new numerator:

a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8

8

= 128

8

b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131

c) Write previous answer (new numerator 131) over the denominator 8.

Sixteen and three eighths is one hundred thirty-one eighths

Conversion a mixed number 9 5

8

to a improper fraction: 9 5/8 = 9 5

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To find new numerator:

a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8

8

= 72

8

b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77

c) Write previous answer (new numerator 77) over the denominator 8.

Nine and five eighths is seventy-seven eighths

Subtract: 131

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- 77

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= 131 - 77

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4

The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27

4

.

In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.

Step-by-step explanation:

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