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Brilliant_brown [7]
3 years ago
13

Please solve the question below 88

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

7361.56 yards

Step-by-step explanation:

Height of the tower = 906 yards

Mauricio's height = 2 yards

Angle of elevation = 7^{o}

Let the distance between Mauricio and the base of the tower be represented by x.

The difference between the height of tower and Mauricio's height = 906 - 2

                                               = 904 yards

So that applying the appropriate trigonometric function, we have;

Tan θ = \frac{opposite}{adjacent}

Tan 7^{o}  = \frac{904}{x}

0.1228 = \frac{904}{x}

x = \frac{904}{0.1228}

  = 7361.5635

x = 7361.56 yards

The distance between Mauricio and the base of the tower is 7361.56 yards.

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2 years ago
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Find the approximate volume of the figure below, composed of a cone, a cylinder, and a hemisphere. If necessary, round your answ
mixas84 [53]

Answer:

Volume of the solid = 480.42m³

Step-by-step explanation:

To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.

Volume of a cylinder = πr²h

volume of a hemisphere = 4/3πr³

Volume of a cone = ⅓πr²h

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h(cylinder) = 11m

Slant height of cone = 3√(2)

Height of cone = ?

To find height of cone, we can use pythagorean theorem

a² = b² + c²

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Volume of a cylinder = πr²h

V = 3.14 * 3² * 11

V = 310.86m³

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V = 3.14 * 3³

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Volume of the hemisphere = 84.78m³

Volume of the cone = ⅓πr²h

V = ⅓ * 3.14 * 3² * 9

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Volume of the cone = 84.78m³

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Volume of the solid = 84.78 + 84.78 + 310.86

Volume = 480.42m³

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I need help on this question
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