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:
3, 6, 12, 15
Step-by-step explanation:
3/12= 4
3/9= 3
C becuase it makes the most sense
I think that the probability of winning a free drink, free desert, or free fries is less than what she thinks because there are 8 chances of winning one of the prizes. There is a 1/8 chance of winning a prize. If you put 1/3 and 1/8 in a calculator you will see that 1/3 is indeed larger.
the gcf is product of gcf each factor,
gcf(40a³b,24a³b⁵)
= gcf(40,24)•gcf(a³,a³)•gcf(b,b⁵)
= 8a³b