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Korolek [52]
3 years ago
9

TRIGNOMETRY:

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

7.698 m

Step-by-step explanation:

From the question,

Faisal's distance to the flagpole = 30 m

angle of elevation of its top = 12.4°

angle of depression of its bottom = 2.1°

Thus, the height of the flagpole is divided into two parts. Let the upper part be represented by x and the lower part by y.

From the triangle of the upper part (elevation), we have;

tan 12.4° = \frac{x}{30}

x = 30 × tan 12.4°

 = 30 × 0.2199

 = 6.597 m

From the triangle of the lower part (depression), we have;

tan 2.1° = \frac{y}{30}

y = 30 × tan 2.1°

  = 30 × 0.0367

  = 1.101 m

The height of the flagpole = x + y

                                           = 6.597 + 1.101

                                           = 7.698 m

The height of the flagpole is 7.698 m.

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Answer:

16%

Step-by-step explanation:

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3 years ago
15x+12(10-x)=141<br>make sure to use steps to solve!​
goldfiish [28.3K]

Answer: x=7

Step-by-step explanation: First you distribute the 12 to (10-x). That then gives you 15x+120-12x=141. Now you combine like terms. So you do 15x-12x=3x. Your new equation now is 3x+120=141. Subtract 120 from 141 and mark it out. That leaves you with 3x=21. Divide both sides by 3. Your final answer is x=7.

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3 years ago
If a = (3-2√2) find the value of a4+ 1/a4 ​
FinnZ [79.3K]

Answer:

  1154

Step-by-step explanation:

Perhaps the easiest way to evaluate this numerical expression is to let a calculator do it. Alternatively, we can compute the value from a +1/a.

__

<h3>expression</h3>

Consider the square of a +1/a:

  (a +1/a)^2 = a^2 +2(a)(1/a) +1/a^2 = (a^2 +1/a^2) +2

This means ...

  a^2 +1/a^2 = (a +1/a)^2 -2

Similarly, using a^2 for 'a' in the above, we have ...

  a^4 +1/a^4 = (a^2 +1/a^2)^2 -2

<h3>numerical value</h3>

The value of a +1/a is ...

  a+\dfrac{1}{a}=3-2\sqrt{2}+\dfrac{1}{3-2\sqrt{2}}=(3-2\sqrt{2})+\dfrac{3+2\sqrt{2}}{3^2-(2\sqrt{2})^2}\\\\=(3-2\sqrt{2})+(3+2\sqrt{2})\\\\a+\dfrac{1}{a}=6

Then the value of a^2 +1/a^2 is 6^2 -2 = 34

and the value of a^4 +1/a^4 is 34^2 -2 = 1154

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2 years ago
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Answer: $3750

Step-by-step explanation:

8 0
4 years ago
Two number have a sum of 1212 and a difference 518. What are the two numbers?
Lady_Fox [76]
The answers are 347 and 865. To solve this problem you set up two equations, x+y=1212 and x-y=518. You then get the second x by itself by adding y to both sides. You then have x+y=1212 and x=y+518. After this you substitute the x into the first equation and have y+518+y=1212. Then simplify to 2y=694 and y=347
Now that y=347 you put it in the original equation. Solve and get that x=865
3 0
3 years ago
Read 2 more answers
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