A student is jogging a rate of 2/3 of a mile in 2/5 of an hour
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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.
This question is incomplete because it lacks the appropriate diagram.
Please find attached this answer the appropriate diagram.
Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.
Answer:
72 centimeter cubes
Step-by-step explanation:
Looking at the attached diagram, we are given 3 views of the cuboid
a) The plan view: The is the view of the cuboid from the top or a very high position
b) Front Elevation view: This is the view of the cuboid from the front
c) Side elevation view: This is the view of the cuboid from the side.
In the referenced and attached diagram,
The plan view shows us the top of the cuboid with a length of 4 and breadth of 6
The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4
The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6
We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.
Volume of a cuboid = Length × Width × Height
Combining the 3 views together,
The Length of the cuboid = 4
Width of the cuboid = 6
Height of the cuboid = 3
Volume of the cuboid = 4 × 6 × 3
= 72
Therefore, the number of centimeter cubes that were used to make the cuboid is 72.
