MONUMENTS The Leaning Tower of

Mathematics

2 answers:

Sidana [21]3 years ago

7 0

Answer: The tower is leaning at 79.70°.

Step-by-step explanation:

Hi, to answer this question we have to apply a trigonometric formula.

Since we know the opposite side and hypotenuse of the triangle formed by the tower (see attachment) we can apply:

Sin θ = Opposite Side/Hypotenuse

Replacing with the values given:

Sin θ = 55/55.9

Solving for θ

θ = arc sin 55/55.9 = 79.70°

The tower is leaning at 79.70°.

Feel free to ask for more if needed or if you did not understand something.

miv72 [106K]3 years ago

4 0

Answer:

79.7 degrees to the nearest tenth.

Step-by-step explanation:

55.9 is the hypotenuse of the right triangle formed by the perpendicular height and the tower itself, and the height is the opposite side to the required angle.

So we have sin X = 55/55.9 = 0.9839.

X = 79.70.

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From 1970 to 1980, the consumer price index (CPI) increased from 38.8 to 82.4. If a dozen eggs cost $0.25 in 1970 and the price

Ganezh [65]

Understanding the Question
This may not be the actual way that the US government prepares the CPI, but it will provide a comparison.

You can set up a proportion. The base number for the CPI is 38.8 in 1970. That number (38.8) has more than doubled to get to 82.4, which also tells us that there was inflation. What your parents and grandparents bought in 1970 went to double the amount in 1980. Gasoline certainly did that.

Givens
CPI in 1970 = 38.8
CPI in 1980 = 82.4
Eggs 1970 = 0.25
Edgs 1980 = X

Formula substitution and solution
CPI 1970 / CPI 1980 = cost of eggs 1970 / cost of eggs 1980
38.8/82.4 = 0.25 / x Cross multiply
38.8 * x = 0.25 * 82.4
38.8 * x = 20.625
x = 20.628 /38.8
x = 0.53 dollars of 53 cents.

53 cents in 1980 which is slightly double as predicted.

Footnote
As a matter of interest, my wife tells me that eggs now cost about 3.58 where we live. That's almost 7 times as expensive as they were in 1980. Something to think about. By the way, the price quoted is in Canada.

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