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dolphi86 [110]
3 years ago
7

A=14cm b=9cm c=6cm law of cosines

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0
A^2= b^2+c^2 - 2bc•cosA

14^2= 9^2 + 6^2 -2x9x6xCosA
196= 81 + 36 - 108xCosA
196- 117= 108CosA
79/108= cos A
0.7315= cosA
A= cos^-1(0.7315)
A= 42.98

SineA/a=sineB/b= sineC/c

Sin42.98/14 = sineB/9
B = sin^-1((9•sin42.98)/14)
B= 25.99

C= 180-(25.99+ 42.98)
C= 111.03
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
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
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seropon [69]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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What Value of m will make this equation true? 3 (m - 5) + 8 = 7 - 1/2 (4m - 11)​
KatRina [158]

Answer:

m = 7.1

Step-by-step explanation:

3 (m -5) + 8 = 7 -1/2 (4m - 11)

So, what I did first was distribute the values in the parenthesis to get,

3m - 15 + 8 = 7 -2m -5.5

Now that we have the parenthesis taken care of we can do the simpler math,

3m - 23 = 7 -2m - 5.5

I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.

3m - 23 = 7 -2m -5.5

<u>        +5.5             +5.5</u>

3m - 28.5 = 7 - 2m

Here we can do the same with the -2m.

3m - 28.5 = 7 - 2m

<u>+2m                 +2m</u>

5m - 28.5 = 7

To get rid of the -28.5 I added it to the 7 getting an answer of,

5m - 28.5 = 7

<u>      + 28.5    +28.5</u>

5m = 35.5

Finally, divide 5m and 35.5 both by 5.

5m/5 = m

35.5/5 = 7.1

Answer: m=7.1

Sorry it's really long, but I hope this helps! Have a great day!

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sergiy2304 [10]

Answer: Its A Im pretty sure

Step-by-step explanation:      

5 0
3 years ago
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