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VLD [36.1K]
2 years ago
11

Solve for the value of C

Mathematics
2 answers:
erica [24]2 years ago
5 0

Answer:

<h2><u><em>c = 50°</em></u></h2>

Step-by-step explanation:

Opposite angles = congruent

so

97 = 2c - 3

100 = 2c

c = 100 : 2

c = 50°

--------------------------------

check

97 = 2 * 50 - 3

97 = 97

the answer is good

Helga [31]2 years ago
4 0

Answer:

c = 50

Step-by-step explanation:

We can set up an equation using the vertical angles theorem.

97 = 2c-3

100 = 2c

c = 50

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Answer these two questions
AVprozaik [17]

For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

<h3 /><h3>What is a right angle triangle?</h3>

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

  • tan∅ = opposite/adjacent

From the diagram,

Given:

  • ∅ = 41°
  • Opposite = Height of the pole = P
  • Adjacent = 34 ft

Substitute these values into equation 1 and solve for P

  • tan41° = P/34
  • P = 34×tan41°
  • P = 29.55
  • P ≈ 30 ft

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

  • cos∅ = Adjacent/Hypotenus.......... Equation 2

From the diagram,

Given:

  • Hypotenus = Wire 1 = x
  • ∅  = 41°
  • Adjacent = 34 ft

Substitute these values into equation 2 and solve for x

  • cos41° = 34/x
  • x = 34/cos41°
  • x = 45.05
  • x ≈ 45 ft

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

Learn more about right angle triangle here: brainly.com/question/64787

#SPJ1

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Step-by-step explanation:

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