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serg [7]
3 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]3 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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A 37 foot board must be cut into two parts. The longer part is one foot larger than the twice the shorter part. How long is each
Rus_ich [418]

Answer:

12 ft  and 25 ft

Step-by-step explanation:

a part is x ft and the other is (2x+1) ft

so 37= x  + 2x+1

   37= 3x+1

  -1        -1

   36= 3x

    :3     :3

   x= 36:3

  I=  x= 12 ft

 II= 2x+1=2*12+1=25 ft

 

3 0
3 years ago
1.What is the equation of the line perpendicular to  that passes through ? Write your answer in slope-intercept form. Show your
Juliette [100K]

Answer:

1. Use a compass to make arc marks which intersect above and below then connect.

2. y=\frac{1}{3}x + 2

Step-by-step explanation:

1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.

2. The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)  

Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.

(y-1)=\frac{1}{3}(x+3)  

Simplify for slope intercept form.

(y-1)=\frac{1}{3}(x+3)\\(y-1)=\frac{1}{3}x+1\\y=\frac{1}{3}x + 2


3 0
3 years ago
D. 9.9<br> Math question please show work
34kurt
The ans is B
hope this helps

5 0
3 years ago
Need help.please on number one
professor190 [17]
The answer is 12 including both sides and angles.

When you cut a square piece of paper from one point to the opposite point it should make two triangles.

Thus each triangle has 3 sides and 3 angles so two triangles has 6 angles and 6 sides

So 12, sides and angles added together. 
3 0
3 years ago
Read 2 more answers
Kirenna's boss, Tanae, believes that women are not capable of making top-level decisions. Kireena's decisions are often sideline
Ugo [173]

Answer:

e. a civil right infringement lawsuit

Step-by-step explanation:

A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.

So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.

6 0
2 years ago
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