Answer:
the altitude of the helicopter is 3925ft
Step-by-step explanation:
we know the angle that is formed between the floor and the distance from the platform to the helicopter (73°)
and we know the distance of the platform (1200 feet)
at the angle we will call it α
and at the distance of 1200 feet we will call it adjacent
we want to know the height that in this case would be the opposite leg to the angle we have
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 73 = o/1200
3.2708 * 1200 = o
o = 3925
This means that the altitude of the helicopter is 3925ft
Answer:
2x+30
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
The length is 2/3 x+10 and the width is 1/3x +5
P = 2(2/3x +10 + 1/3x +5)
Combine like terms
P = 2(2/3x + 1/3x +10+5)
= 2(x +15)
Distribute the 2
= 2x+30
It’s going down in 6’s
4, -2, -8
Answer:
g = 14
Step-by-step explanation:
Given that f varies directly as g and inversely as h then the equation relating them is
f =
← k is the constant of variation
To find k use the condition f = - 12 when h = 4 and g = - 3, that is
- 12 =
( multiply both sides by 4 )
- 48 = - 3k ( divide both sides by - 3 )
16 = k
f =
← equation of variation
When f = 28 and h = 8 , then
28 =
= 2g ( divide both sides by 2 )
g = 14