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Georgia [21]
2 years ago
8

the sum of the measurement of two angles is 183.61 angle one has a measure of 54 what is the measure in degrees of the second an

gle
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
7 0
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Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle
Nina [5.8K]
The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as x.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
cos(59)= \frac{19}{h}
h= \frac{19}{cos(59)}
h=36.9
Now we can use the law of sines to find the distance x between Paul and Jose:
\frac{sin(43)}{36.9} = \frac{sin(16)}{x}
x= \frac{36.9sin(16)}{sin(43)}
x=14.9

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
19m+14.9=33.9m

We can conclude that Jose is 33.9m from the base of the tree.

3 0
3 years ago
1) Find EB, if AE = 3 cm , EB = x + 3 cm, DE = 6 cm and EF = x - 2 cm
lawyer [7]
1) B  



2) C 


can you help me? since I helped you?
                            
7 0
3 years ago
What shape is this I need help
professor190 [17]

Answer:

Pyramid/Triangle Prism

Step-by-step explanation:

pyr·a·mid

/ˈpirəˌmid/

Learn to pronounce

See definitions in:

All

Archaeology

Egyptian History

Geometry

Anatomy

Finance

noun

1.

a monumental structure with a square or triangular base and sloping sides that meet in a point at the top, especially one built of stone as a royal tomb in ancient Egypt.

2.

an object, shape, or arrangement in the form of a pyramid.

"a pyramid of logs"

verbNORTH AMERICAN

5 0
2 years ago
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. Fo
Fittoniya [83]
4 • 5 is Noah and 5^4 is Diego
4 0
2 years ago
Geometry math question no Guessing and Please show work thank you
ahrayia [7]
To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:
(number \: of \: sides - 2) \times 180
In this case,the equation would be:
(7-2)×180°
=5×180°
=900°

We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°

The interior angle of vertex E:

6x=6(25)=150°

Therefore,the interior angle of vertex E is 150°.

Hope it helps!
6 0
3 years ago
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