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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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nirvana33 [79]

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

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2 years ago
The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.
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Answer:

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Step-by-step explanation:

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2πr(h + r) = πr²h

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Divide both sides by 0.5

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3 years ago
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2 years ago
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vlada-n [284]

Answer:

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6 0
2 years ago
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Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient
Degger [83]

Given:

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To find:

The end behavior of the polynomial.

Solution:

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