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timama [110]
3 years ago
5

Pythagorean Theorem

Mathematics
2 answers:
pshichka [43]3 years ago
3 0

Answer:

1) 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

x = 10 feet

2) 15^2 + 8^2 = x^2

225 + 64 = x^2

x ^ 2 = 289

guy rope = 17 feet


Step-by-step explanation:


DanielleElmas [232]3 years ago
3 0

the first is a ratio of 3-4-5 triangle. the scaled up version would be 6-8-10.


for problem 2, it is a special triangle of 8-15-17


search up special triangles to have a faster answer :)

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TRIGNOMETRY:
KIM [24]

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

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

tan 2.1° = \frac{y}{30}

y = 30 × tan 2.1°

  = 30 × 0.0367

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The height of the flagpole = x + y

                                           = 6.597 + 1.101

                                           = 7.698 m

The height of the flagpole is 7.698 m.

6 0
3 years ago
HELP ASAP plz!! Find the value of each variable
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Step-by-step explanation:

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One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necess
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Answer:

17.7 cm

Step-by-step explanation:

One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th

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Hypotenuse ² = Opposite ² + Adjacent ²

Hypotenuse = √Opposite ² + Adjacent ²

Opposite = 12 cm

Adjacent = 13 cm

Hence,

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Therefore, the measure of the Hypotenuse is 17.7 cm

6 0
3 years ago
Myra took out a 20 year loan for $80,000 at an APR of 11.5% compounded monthly, approximately what would be the total cost of he
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Answer:

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Step-by-step explanation:

We have given:

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P{1+\frac{r}{n}}^{nt}

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