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GrogVix [38]
3 years ago
10

In the previous problem, how does the angle of depression from the top of the taller building relate to the angle of elevation f

rom the top of the shorter building?

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0
The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.

 The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles. Then, if the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too. To understand this, you should see the diagram attached. 

 In the diagram you can notice that both angles, of elevation and depression, have the same value.

 Then, the answer is: The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.

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The high temperature for one town last year was 79°F The low temperature for the same town was - 3°F What was the difference bet
Ainat [17]

Answer:

79°c - (-3°c) = 82°c

Step-by-step explanation:

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6 0
3 years ago
In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

5 0
3 years ago
Point D (-1,5) is reflected across the x-axis which statements about D are true
mamaluj [8]

Answer:

When a point is reflected across the x axis, it has the same x axis but the y axis is multiplied by -1. Think about the x axis as a mirror and the point is projected across the x axis.

Hence the x coordinate is -1 and the y coordinate is -5.

Step-by-step explanation:

3 0
3 years ago
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Convert 39 meters squared to yard square
horrorfan [7]

Answer:

I used this converter, very helpful

Step-by-step explanation:


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