FIRST PARTWe need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative
Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached
Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13
cos α = side adjacent to the angle / hypotenuse
cos α = -5/13
Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°

SECOND PARTSolve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β



Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β



Find tan (α - β)


Simplify the denominator


Simplify the numerator


Simplify the fraction

X/58.65 = 15/100
(58.65*15)/100 = tip
Answer:
Una parábolase obtienecuando se corta un cono de tal maneraque el corte sea paralelo auno de sus lados, como lo muestra la grafica de la Fig. No 10. Una vez que se ha observado a la parábola en la naturaleza, pasemos a estudiarla desde el punto de vista geométrico.
Answer:
10 minutes
Step-by-step explanation:
First, find how much higher the airplane has to travel:
35,000 - 30,000
= 5,000
To fine how long it will take, divide 5000 by 500
5000/500
= 10
So, it will take 10 minutes to get above 35,000 feet