8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
1 answer:
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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:
The network model is attached.
Step-by-step explanation:
Total Demand from each Gas Company are:
Southern Gas, 500 units;
Northwest Gas, 400 units.
Total Supplies to each County are:
Hamilton County, 400 units;
Butler County, 200 units;
Clermont County, 300 units.
The distribution costs per unit (in thousands of dollars) are as follows
-----------Hamilton-- Butler-- Clermont
Southern Gas--- 10 ---20--- 15
Northwest Gas ----12 ----15---- 18
The network representation of these information is given in the attachment.
