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serg [7]
4 years ago
9

A flag staff is fixed at one corner of a rectangular room of side 20×10m.The angle of elevation on the top of the flag from oppo

site corner of the room is found 30.Find the height is flag staff.
Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
7 0

Answer:

The height is 12.9m

Step-by-step explanation:

First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

h² = s1² + s2²

h² = 10² + 20²

h² = 100 + 400

h² = 500

h = √500

h = 22.36

Now that we know this measurement we can calculate the height of the flagpole

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 30

a: adjacent  = 22.36

o: opposite  = ?

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

is the tangent

tan α = o/a

tan 30 = o/22.36

tan30 * 22.36 = o

12.9 = o

The height is 12.9m

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What is the recursive rule for the sequence? -1,-0.5,0,0.5,1,...
Umnica [9.8K]

9514 1404 393

Answer:

  C

Step-by-step explanation:

The subscript (n-1) is used to indicate the term previous to term (n). In this sequence, each term is 0.5 more than the previous term, so the recursive relation ...

  a_n=a_{n-1}+0.5

is the appropriate one. This matches choice C.

__

<em>Additional comment</em>

Of course, if the next term is 0.5 more than the last, then the previous term is 0.5 less than the present one. The sequence can be described in this "backward" fashion by the recursive relation of choice A. While that <em>does work</em> to describe the sequence, it is usually <em>not</em> the form we desire for a recursive relation.

3 0
3 years ago
A traveler is driving across the country and spots Gateway Arch in St. Louis, Missouri. She has read that the arch is 630 feet t
andreyandreev [35.5K]

Answer:

The answer is 0.2mile

Step-by-step explanation:

The vertical height of the building, which is 630ft, is opposite the angle of elevation (30°).

While the horizontal distance to the tower is adjacent to the building. So, we take the tangent of the angle of elevation in terms of this unknown distance (x) and the vertical height.

So,

Tangent = opposite ÷ adjacent

Tan30° = 630ft ÷ x

x = 630ft ÷ tan30°

x = 1091.192ft

But,

1 mile = 5,280ft

1091.192ft = (1/5280) x 1091.192

= 0.2mile

5 0
3 years ago
4ly – 51 – 8 = 0<br><br><br> What’s
GenaCL600 [577]

Answer:

ly = 14.75

Step-by-step explanation:

4ly – 51 – 8 = 0

4ly - 59 = 0

combine 59 and 0

4ly = 0 + 59

4ly = 59

divide by 4

4ly/4 = 59/4

ly = 14.75

6 0
4 years ago
zelda has a piece of fabri that is 74 inches long. she wants to divide it into 2 equal pieces. what is the length of each piece?
eimsori [14]

Answer:

37 inches.

Step-by-step explanation:

To find the answer, we can simply divide the total amount of fabric, 74 inches, by 2. This will give us 2 equal pieces.

74/2=37

The length of each piece is 37 inches.

Hope this helps!

3 0
3 years ago
Read 2 more answers
A number was written on the board. one student increased the number by 23, but another student decreased the number by 1. the fi
Softa [21]
Let the number be x.

First student increased the number by 23, therefore
⇒ x + 23

Second student decreased the number by 1, therefore
⇒ x - 1

The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)

----------------------------------------------
Solve for x:
----------------------------------------------
x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5

--------------------------------------------------------------------------------------------
Answer: The  number on the board is 5.
--------------------------------------------------------------------------------------------
4 0
4 years ago
Read 2 more answers
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