9514 1404 393
Answer:
1731 ft
Step-by-step explanation:
The tangent relation is useful in this problem.
Tan = Opposite/Adjacent
The height of the light is found to be ...
tan(11°) = height/(639 ft)
height = (639 ft)·tan(11°) . . . . . solve for height
Then the distance from the light to point B is ...
tan(3°) = height/(B distance)
B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft
Then the distance from point A to point B is ...
2370 ft -639 ft = 1731 ft . . . AB distance
Answer:
A. Building A, it is around 100.69 feet taller than building B.
Step-by-step explanation:
Since building A is 120 feet away at and elevation of
, then:
Tan
= 
Where x is the height of the building at the horizontal plane.
x = Tan
× 120
= 100.692 feet
For building B at the same elevation,
Tan
= 
x = Tan
× 60
= 50.346 feet
Since the angle of elevation are the same, building A is around 100.69 feet taller than building B.
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1. It is already given in the question that one box of tissues cost $6.58. Need to find the number of boxes that can be bought with $46.06.
So
$6.58 is required to buy = 1 box
Then
With $46.06 one can buy = (46.06/6.58) boxes
= 7
So with $46.06 a person can buy 7 boxes of tissue paper.
2. In this question it is given that Castle had spent $4.83 for buying a box of envelope. It is required to find the number of boxes of envelope Castle can buy with $38.64
Now
$4.83 is required to buy = 1 box of envelope
then with $38.64 Castle can buy = (38.64/4.83) boxes of envelope
= 8
So Castle can buy 8 boxes of envelope with $38.64
Answer:
x=7.5
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x+4.5)=36
Step 1: Simplify both sides of the equation.
3(x+4.5)=36
(3)(x)+(3)(4.5)=36(Distribute)
3x+13.5=36
Step 2: Subtract 13.5 from both sides.
3x+13.5−13.5=36−13.5
3x=22.5
Step 3: Divide both sides by 3.
3x/3=22.5/3
x=7.5
Answer:
x=7.5