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.
The answer is: "
40 cm " .
_________________________________________________________<u>Note</u>:_________________________________________________________ ;
Solve for "x" (in "cm" ) ;
→ 5x = 200 * 1 ;
→ 5x = 200 ;
Divide each side of the equation by "5" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 5x / 5 = 200 / 5 ;
to get:
→ x = 40 .
___________________________________________________________The answer is: "
40 cm " .
___________________________________________________________
Answer:
is the correct answer.
Step-by-step explanation:
We know that vertex equation of a parabola is given as:
where is the vertex of the parabola and
are the coordinate of points on parabola.
As per the question statement:
The parabola opens upwards that means coefficient of is positive.
Let
Minimum of parabola is at x = 3.
The vertex is at the minimum point of a parabola that opens upwards.
Putting value of a and h in the equation:
Formula used:
Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.
Comparing and
13 = 9+k
k = 4
Please refer to the graph attached.
Hence, correct option is
15+22(4+11)=x
4+11=15
22*15=330
15+330=345
x=345
To divide fractions, you need to multiply by the reciprocal. The reciprocal of 3/4 is 4/3, which is why the work is incorrect.
See attached: