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UkoKoshka [18]
3 years ago
15

the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top

of the building. *

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

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Pleaseeeee help, I need this now...
hoa [83]

Answer:

7/16.  

Step-by-step explanation:

The first triangle has no shading.

The second triangle has 1/4 shaded.

The third has 3/9.

The fourth has 6/16.

Based on this pattern, we can assume that the number of small triangles in each triangle are going to be squared of numbers, since the first had 1, the second 4, the third 9, the fourth 16. So, the 8th triangle would have 8^2 small triangles, or 64 triangles in total.

The first triangle has no shaded triangles. The second has 1. The third has 3. The fourth has 6. If you study the pattern, the second triangle has 1 more than the previous, the third has 2 more, the fourth has three more. And so, the fifth triangle would have 6 + 4 = 10 triangles, the sixth would have 10 + 5 = 15 triangles, the seventh would have 15 + 6 = 21 triangles, and the eighth would have 21 + 7 = 28 shaded triangles.

So, the fraction of shaded triangles would be 28 / 64 = 14 / 32 = 7 / 16.

Hope this helps!

3 0
3 years ago
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
Alex73 [517]

Answer: The largest angle formed during his trip is at the mall between his home and the library.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.

The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.

So, the largest angle formed during his trip is at the mall between his home and the library.

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

7 0
3 years ago
Read 2 more answers
Write an equation of a line that contains the point (-2,3) with a slope of 0.
Aleksandr [31]

Answer:

y =3

Step-by-step explanation:

Slope of zero means it is a horizontal line

Horizontal lines are of the form

y =

The y coordinate is 3 so

y =3

4 0
3 years ago
Write .0085 in scientific notation
nikitadnepr [17]

Answer:

8.5 * 10^-3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A circle has diameter 11cm
pogonyaev
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
 If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
 Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
 we observed that
 9.89cm <11cm.
 Therefore we show that:
 the square will fit inside the circle without touching the edge of the circle
4 0
3 years ago
Read 2 more answers
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