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Bas_tet [7]
3 years ago
12

A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer:

53.2 ft

Step-by-step explanation:

A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

We solve the above question using the Trigonometric function of Sine

sin theta = Opposite/Hypotenuse

Theta = 70°

Hypotenuse = x = Length of the wire

Opposite = 50ft antenna

Hence,

sin 70 = 50/x

Cross Multiply

50 = sin 70 × x

x = 50/sin 70

x = 53.208888624 ft

Approximately x = 53.2 ft

The length of the wire is 53.2 ft

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Answer:

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Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

  • Thus, 23 + 5x - 18 + 90 = 180.

Step 1: Simplify both sides of the equation.

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Step 2: Subtract 95 from both sides.

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Step 3: Divide both sides by 5.

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Step 4: Check if solution is correct.

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It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inc
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 <span>Length of outer track = sum of length of 10 pieces = circumference of the outer circle 


if R is the Radius of outer circle then... 

Circumference of the outer track = 2pi*R 


Similarly the circumference of the inner track (with radius r) = 2pi*r 


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