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notka56 [123]
3 years ago
11

A man on the fifth floor of a building shouts down to a person on the street. If the angle of elevation from the street to the m

an in the building is 35° and the man in the building is 40 feet up, about how far away from the building is the person on the street? A) 28 feet B) 55 feet C) 56 feet D) 57 feet
Mathematics
2 answers:
AleksandrR [38]3 years ago
3 0

Answer: 57 ft

Step-by-step explanation: Because drawing it up, we can make a right angled triangle with the right angle between the height of the man in the building and the distance out from the building of the man in the street, and the 35 degrees between the line connecting the man in the street with the man in the building, and the line out from the building of the man in the street. Then, tan of the 35 degree angle is = to opposite (40ft)/adjacent (to solve for). By cross multiplication, the A or adjacent (dist out from the building) = 40/0.7 (0.7 = tan of 35 degrees) so the answer is 57 ft. 

ohaa [14]3 years ago
3 0

Answer:

D. 57 ft

Step-by-step explanation:

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In short, Your Answer would be 51

Hope this helps!
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A product code consists of four letters followed by five digits. Only the letters X, Y, and Z can be used ( and any of the digit
Morgarella [4.7K]

Answer:

\frac{49}{81}, 60.494%

Step-by-step explanation:

I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.

We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.

_ _ _ _   _ _ _ _ _

For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot

so

3*3*3*3 * 10*10*10*10*10

= 81*100000

= 8100000

The number of Y's will never affect the number of permutations of the numbers.

So:

For 1 y, we have

Y _ _ _ * 10*10*10*10*10

But we also have

_ Y _ _

_ _ Y _

and

_ _ _ Y

So we can multiply the number we get in one calculation by 4

4 *

Y _ _ _ * 10*10*10*10*10

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= 800000 * 4  = 3200000

For 2 y's, we have

YY _ _

_ YY _

__ YY

3*

YY 2*2 * 10^5

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For 3 y's, we have

YYY _

_ YYY

2 *

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For 4 y's, we have

YYYY * 10^5

100000

Now we can add them all up and divide it by our original number 8100000

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1 year ago
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