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Charra [1.4K]
2 years ago
12

Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 20 by 10 meters long. To do that, she has

to draw a diagonal line that begins at the bottom-left corner and ends at the top side of the flag, 6.66.66, point, 6 meters to the right. Since the ends of the diagonal line are too far to put a ruler between them, Isabella wanted to find the angle of the diagonal and draw it using a protractor.
What is the angle of elevation, in degrees, of the diagonal?
Mathematics
1 answer:
erica [24]2 years ago
7 0

Answer:

33.4

Step-by-step explanation:

We are given the side opposite to the missing angle and the side adjacent to the missing angle. The appropriate trigonometric ratio is therefore the tangent.

Denoting the missing angle by 0, we obtain the equation Tan(0)= 6.6/10

Evaluating this result in the calculator and rounding to the nearest tenth, we get 0=33.4

The angle between the diagonal line and the left edge of the flag is 33.4

You might be interested in
21 plus 4x equal 61 what equal 61
kvasek [131]

Answer:

x = 10

Step-by-step explanation:

61 - 21 = 40
40 / 4 = 10
x = 10

6 0
2 years ago
Im not sure how to find the missing angle
LuckyWell [14K]

Answer:

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras'  theorem to find that side

where c = x   because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = \sqrt{a^{2} + b^{2} }

sooo  plug in a = 14 and b = 10

c = \sqrt{14^{2} + 10^{2} }

c = \sqrt{196+100}

c = \sqrt{296}

c= 17.20465.....  ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA  to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp  Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623°  is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

:)

5 0
3 years ago
Please help this will make me pass the class ! I’ll give you all coins promise I need all of the awnsers
maria [59]
Going from top to bottom 
A) All sides add up to 180 so just subtract the other angles from 180 to get the last ----- 180-(53+78)= 49.  x=49

B) The little square means 90 and since the lines are equal the other two angles are equal. so ------2x+90=180  bring 90 over 2x=90 then divide by the 2 and get x=35 

C) For this one since they all have a x you can say all of them added together is 180 so -----  3x-11+6x-10+x=180   you can add like terms and have 10x-21=180    add 21 over   10x=201 then divide 201 by 10 and get x=20.1

D) This will take two different equations first do as you did in A for the right triangle ---- 180-(75+67) and get 38 now the angle on the other triangle that it is across from is the same. 38 now do it once again 180-(28+38) and get x=114

Exterior angles add up to the inside angle across from it to make 180. 

A) Find out what the inside angle is first ---  180-(73+62)=45  now x+45= 180 so just subtract 45 over and get    x=135

B) Same as above but the square is 90. 180-(31+90)=59 now x+59=180 subtract 59 over and have   x=121

C)Because the two lines are equal (Indicated by the ticks) the angles at the end are as well. so now you have 98+2x= 180    subtract 98 over get 2x=82 then divide by the 2 and get   x=41

D) This one requires some thinking. We know that all three angles inside equal 180 and the one outside and the one inside equal 180 but we don't know what the angle inside by the outside angle is. (sorry if that's confusing) but since the outside one minus 180 is the inside one then we can put that in x+28+4x-3+7x-15-180 = 180  (I put everything in but for the missing angle I put the outside one minus 180) you can first combine terms and have       12x-170=180  add 170 over and have 12x=350  then divide by 12 and get     about 29.1 but that's just the missing angle! Next you can put that with the outside one and get 7x-15+29.1=180 combine 7x+14.1=180  subtract 14       7x=166.1 then divide and get            x=23.7

I hoped this helped - all the answers are at the bottom of the explanation and the only one i'm not sure of is the last D
3 0
3 years ago
X^-3/x^0 pls figure out
Keith_Richards [23]
X^-3

Anything to the power of 0 is 1 so
X^-3/1= X^-3
5 0
2 years ago
Simplify:<br><br> 3a + 2b - 8a + b
dezoksy [38]
-5a+3b should be the answer simplified
5 0
3 years ago
Read 2 more answers
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