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.
<h3>What is Sine (Sinθ)?</h3>
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.
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Answer: 96 games
Step-by-step explanation: You want to find out how many games the team won if their win to loss ratio is 16 to 11. Because you want to find the total, adding 16 and 11 gives 27. Multiplying 16/27 by 162 gives 96, the desired wins. Hope this helps! (Could I please have brainliest?)
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Answer:
Step-by-step explanation:
Answer:
The archaeologists dis not actually discovered the lost temple
Step-by-step explanation:
For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.
Area of the temple = LW
Perimeter = 2L + 2W
L is the length
W is the width
If the perimeter is 220m
220 = 2L + 2W
110 = L+W ... 1
If the area is 2100 square meters
A = LW
2100 = LW ... 2
From 1;
L = 110 - W .... 3
Substitute 3 into 2
From 2;
2100 = LW
2100 = (110-W)W
2100 = 110W - W²
- W² + 110W - 2100 = 0
W² - 110W + 2100 = 0
Using the general formula;
W = -(-110)±√(-110)²-4(1)(2100)/2
W = 110±√3700/2
W = 110±60.83/2
W = 110±60.83/2
W = 110+60.83/2 and W = 110-60.83/2
W = 170.83/2 and 49.17/2
W = 85.415m and 24.585m
Substitute the width into the formula to get the length;
LW = 2100
L = 2100/W
L = 2100/85.415
L = 24.59 m
If the width is 24.585m;
L = 2100/24.585
L = 85.42m
Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple