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Gelneren [198K]
3 years ago
5

Mr. Willis is building a new dock at his lake house that will be 35 feet long. If the blueprints show the dock as 16 inches long

, what scale was used to create the blueprint?
Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

1:26.25

Step-by-step explanation:

Scale = 16 in:35 ft

Convert 35 ft to inches

1 ft = 12 in

35 × 12/1 = 420 in

Scale = 16 in:420 in     Divide each term by 16

Scale =      1:26.25

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The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. Calculate the angular diffe
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Part A

The angular difference of their longitude is approximately 50.65°

Part B

The location of B is on the longitude of approximately 30.65°E

Step-by-step explanation:

Part A

The given parameters are;

The location of the points A and B = Along the parallel of latitude 60°

The radius of the Earth, R = 6,371 km

The radius at the 60° parallel of latitude, r = R × cos(θ)

∴ r = 6,371 × cos(60°) = 3,185.5

The circumference of the 60° parallel of latitude, C₆₀ = 2 × π × 3,185.5

The angle subtended by the arc formed by their distance apart, θ₁, is given as follows;

θ₁ = 2,816/(2 × π × 3,185.5) × 360 ≈ 50.65°

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The location of B is on the longitude of approximately 30.65°E.

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2 years ago
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