Answer:
ASA
Step-by-step explanation:
In ΔBAD , ΔBCE
∠BAD = ∠BCE
AD= EC { GIVEN}
∠ABD = ∠CBE { COMMON TO BOTH TRIANGLES}
Answer: ill try it -3-
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
1. Copy Equations:
18x + 6y = 144
6x + 10y = 144
2. Multiply one of the equations in a way that gets either the x or the y to cancel each other out when added together:
18x + 6y= 144 --> 18x + 6y = 144
-3(6x + 10y= 144) --> -18x -30y = -432
3. Add equations together:
18x + 6y= 144
-18x -30y= -432 --> -24y = -288
4. Solve for y by dividing both sides of the equation by -24:
-24y÷-24 = -288÷-24 --> y= 12
5. Plug the y back into one of the original equations:
6x + 10(12)= 144
6. Solve for x:
6x + 10(12)= 144 --> 6x + 120= 144
6x + 120= 144
-120 -120 --> 6x = 24
6x÷6 = 24÷6 --> x= 4
7. Collect answers:
x= 4
y= 12
8. (Optional) plug answers back into one of the original equations the check answer.
The value of the sine of the new angle of elevation is 15i/8
<h2 /><h2>Sine of the New Angle of Elevation</h2>
Let the angle of elevation of Daniel's neighbors apartment be Ф. When he adjusts to view on the next floor, the elevation of the apartment is double the initial. So, this new angle of elevation is α = 2Φ.
Since we require sinα = sin2Φ = 2sinΦcosΦ
Since the cosine of the angle of elevation from Daniel to the apartment is 15/12, cosΦ = 15/12
Using trigonometric identities,
sin²Ф + cos²Ф = 1
sinФ = √(1 - cos²Ф)
Substituting the value of the cosФ into the equation, we have
sinФ = √(1 - cos²Ф)
sinФ = √(1 - (15/12)²)
sinФ = √(1 - (225/144))
sinФ = √([144 - 225]/144))
sinФ = √(-81/144)
sinФ = 9i/12
sinФ = 3i/4
So, sinα = sin2Φ
= 2sinΦcosΦ
= 2 × 3i/4 × 15/12
= 15i/8
So, the value of the sine of the new angle of elevation is 15i/8
Learn more about sine of an angle here:
brainly.com/question/11542878
