Step-by-step explanation:
sin ∅ = -(√3)/2
Note that
cos²∅ + sin²∅ = 1
cos²∅ = 1 - sin²∅
= 1 - (-√3 / 2)²
= 1 - (-√3)²/ 2²
= 1 - 3/4
= 1/4
cos²∅ = 1/4
Taking square root of both sides
cos∅ = 1/2
Note that tan∅ = sin∅/cos∅
therefore, tan∅ = -(√3)/2 ÷ 1/2
= -(√3)/2 × 2/1
= -√3
tan∅ = -√3
Since sin∅ = -√3 /2
Then ∅ = -60⁰
The value of ∅ for the given range (third quadrant) is 240⁰.
NB: sin∅ = sin(180-∅)
Also, since 180⁰ is π radians, then ∅ = 4π/3
Answer:
The parasailor height is 47ft
Step-by-step explanation:
We can think of the problem as a right triangle, the string would be the hypotenuse and the height of the parasailor would be a leg.
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 36°
a: adjacent
o: opposite = ?
h: hypotenuse = 80ft
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
is the sine
sin α = o/h
sin 36° = o/80
sin 36° * 80 = o
47.02 = o
if we round to the nearest tenth
47.02 = 47.0
The parasailor height is 47ft
Answer:
2 2/3=(6+2)/3=8/3
22 5/8=(176+5)/8=181/8
the expression will be 181/8 : 8/3=181/8*3/8=181*3/8*8= 543/64
Step-by-step explanation:
The answer should be B if I am correct
Answer:
1. Last option
2. third option
Step-by-step explanation:
1. Each term is formed by multiplying the previous one by 3
so its 729, 2187
2. Working from right to left we multiply by 5 so its 500.
