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Zanzabum
3 years ago
7

The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 ft from the base of the

cliff, how tall is the cliff?
Mathematics
1 answer:
Burka [1]3 years ago
5 0

Answer: 315

Step-by-step explanation: hope this is right.

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Solve the linear system of equations using the linear combination method.<br><br> {8a−4b=205a−8b=62
11Alexandr11 [23.1K]
Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem. 

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40. 

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D 

So there you have your first answer. 

a = -2 

Now we're going to use the first answer to help us find b. 

For the second equation, all you're going to do is plug in that a. 

5 (-2)-8b=62 

-10 - 8b = 62

Now we move the -10 to the other side...

-8b = 62 + 10 

-8b = 72

Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72 

The final step is to simplify. -72/11 = -9

b = -9 

Hope this makes sense! Also I had the same question on my test and I got it right. :)

6 0
3 years ago
Approximate 221 ( square root) to the nearest hundredths.
schepotkina [342]
The answer would be C
6 0
3 years ago
How to solve for x and y
Minchanka [31]

<u>Answer-</u>

<em>The values of </em><em>x and y are 20° and 30</em><em>, respectively.</em>

<u>Solution-</u>

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

\Rightarrow 80^{\circ}=x+60^{\circ}

\Rightarrow x=80^{\circ}-60^{\circ}

\Rightarrow x=20^{\circ}

Therefore, the values of x and y are 20° and 30, respectively.

4 0
3 years ago
The square root of -1 is:
Sliva [168]
The square root of -1 is I
4 0
3 years ago
HELP ME !!!<br><br> What does three 14-hour mean?
dlinn [17]
Misspelled 14 to the 3rd power is 2744
3 0
2 years ago
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