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DiKsa [7]
3 years ago
8

Carl and rose live in the same straight road. From their balconies they can see a flagpole in the distance. The angle that each

persons like of sight to the flagpole makes with the road is the same. How do their distances from the flagpole compare
Mathematics
1 answer:
Andreyy893 years ago
6 0

Carl and Rose' balconies make up the base of an isosceles triangle.

Their distances from the flagpole is the same.

From the question, we understand that:

  • Carl and Rose live on a straight line
  • The measure of angle from each person's balcony to the flagpole is the same

The above highlights mean that:

The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.

Where Carl and Rose' balconies form the base of the isosceles triangle.

Hence, their distances from the flagpole is the same.

Read more about distances at:

brainly.com/question/12961022

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Cuboid ABCDEFGH is shown
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Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

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The given parameters are;

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We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

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By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

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

tan\angle ACF = \dfrac{FA}{AC}

In a cuboid, FA = BG = CH = DE = 9.3

\therefore tan\angle ACF = \dfrac{9.3}{8.63}

\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}

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4 0
3 years ago
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Answer:

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The profit is the difference between the revenue and the cost of a given task, therefore:

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