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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Simplify 2x+6=4x+-2 reorder the terms 6+2x=4x+-2
Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
The student with the correct answer is Dylan who says the decimal should be placed between the 8 and 0.
This is base on the estimation that 3.01 is a two decimal place number, so the product 18.06 should also be in 2 decimal place.
<h3>How to find product of decimal number?</h3>
A decimal number is a number expressed in the decimal system (base 10).
Place value:
- Ten thousand
- Thousand
- Hundred
- Ten
- ones
- . decimal point
- tenth
- hundredths
- thousandth
- ten thousandth
- hundred thousandth
6 × 3.01
3.01
- 3 = ones
- . = decimal point
- 0 = tenth
- 1 = hundredth
6 × 3.01
= 18.06
Therefore, Lucas is incorrect with his answer that the decimal should be placed between the 1 and 8.
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