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Harman [31]
3 years ago
10

6. Use the image below to find the missing value.

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Option C:

The value of m is 4.

Solution:

Given data:

AB = 4m – 15

BC = 5m –6

AC = 15

<u>To find the value of m:</u>

Using segment addition postulate,

AB + BC = AC

4m – 15 + 5m –6 = 15

Arrange the like terms together.

4m + 5m – 15 – 6 = 15

9m – 21 = 15

Add 21 on both sides of the equation,

9m = 36

Divide by 9 on both sides of the equation.

m = 4

The value of m is 4.

Option C is the correct answer.

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Benjamin is trying to find the height of a radio antenna on the roof of a local building.
xz_007 [3.2K]

The height of the antenna on the roof of the local building is approximately 8 meters.

The situation forms a right angle triangle.

<h3>Properties of a right angle triangle:</h3>
  • One of its angles is equals to 90 degrees
  • The sides of the triangles can be calculated using Pythagoras theorem.

Therefore, let's find the height of the building and the radio antenna from the eye point.

Using trigonometric ratios,

tan 40° = opposite / adjacent

tan 40° = x / 25

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x = 25 tan 40

x = 25 × 0.83909963117

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Let's find the height of the building from his eye point.

tan 28° = y / 25

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y = 25 × tan 28°

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y = 13.2927357915 meters

Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786

Height of the antenna ≈ 8 meters

learn more on elevation here: brainly.com/question/17582385?referrer=searchResults

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