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Rasek [7]
3 years ago
10

A is the point with coordinates (4,6)

Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = \frac{21-6}{d-4} = \frac{15}{d-4} = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

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ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m
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Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

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Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}

Therefore

tan(\theta) = \dfrac{y}{x}

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Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

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