Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
The answer is 509 metres.
Answer:
Step-by-step explanation:
As given
i.e
As the mrs.Marina is going to make one half of the recipe .
We get
solving the above
Answer:
x = 18 degrees
Step-by-step explanation:
because lines n and m are parallel, 3x and 126 are same side interior angles. This means that when added up they equal 180, so make an equation as so:
3x + 126 = 180
Solve for it and x will equal 18.
x = 3 is a vertical line that goes straight up and down at 3 on the x axis, vertical lines have a undefined slope. Don't confuse that with no slope which is a flat like like y=7.
so the slope is undefined
