The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point on the ground is 45 degrees.
Step-by-step explanation:
The given is,
The angle of depression from the top of a building to a point on the ground is 45 degrees.
Height of the building is 280 meter.
Step: 1
Given diagram is a right angled diagram,
For right angle triangle,
90° = 45° + 45°
= 90°
Trignometric ratio,
sin ∅ =
....................(1)
For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point on the ground is 45 degrees.
Where, Opp side = 280 meters
Hyp side = x
∅ = 45°
Equation (1) becomes,
sin 45° = 
0.70710678 = 
x = 
x = 395.979
Distance between point on the ground from the top of the building, x ≅ 396 meter
Trignometric ratio,
cos ∅ =
Cos 45 =
Adj = (0.70710678)(396)
Bottom length, Adj = 280 meter
Result:
The distance between point on the ground from the top of the building is 396 meter.
Answer:
400
Step-by-step explanation:
The manufacturer spends $5 to make each widget and sells them for $8. This means that each widget gives him a profit of $3.
8 - 5 = 3
You need to figure out how many widgets it will take for the manufacturer to make up for the costs each month ($1200).
3x = 1200
(3x)/3 = 1200/3
x = 400
The manufacturer needs to sell 400 widgets.
5y = 4x + 20
- 4x + 5y = 20
Step-by-step explanation:
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