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2 years ago

An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an

1 answer:

5 0

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

Learn more about Sine:

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Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length

juin [17]

Answer:

110 feet

Step-by-step explanation:

Given that,

Length of the rectangular garden = 9 1/4 feet = 37/4 feet

Width of the rectangular garden = 4 1/2 feet = 9/4 feet

We need to find the total length of fencing Mark needs to surround all 4 gardens.

The length for 1 garden = perimeter of the garden

The length for 4 garden = 4×perimeter of the garden

= 4×2(l+b)

$=8(l+b)\\\\=8(\dfrac{37}{4}+\dfrac{9}{2})\\\\=8\times 13.75\\\\=110\ \text{feet}$

Hence, 110 feet is the total length of the fencing Mark needs to surround all 4 gardens.

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2 years ago

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

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Answer:

<3, <2 or <6

Step-by-step explanation:

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2 years ago

A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about

Finger [1]

The team plays 20 matches.

65% of the matches, the teams wins
= 20 * 0.65
= 13 matches

15% of the matches, the games ends in draw.
= 20 * 0.15
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