Given :
Two vertical buildings 57 meters apart are 158 meters and 237 meters high.
To Find :
The angle of elevation from the top of the shorter building to the top of the taller building.
Solution :
Distance between height of building, h = 237 - 158 = 79 m.
Distance between these building , d = 57 m.
Now,
Therefore, the angle of elevation from the top of the shorter building to the top of the taller building is 54.19°.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
The First Question !
This is simple,
So first we set this problem up
2 Red + 3 Blue + 7 Green = 12 Total Marbles
The formula for calculator probability is
# of favorable outcomes / # of possible outcomes
The number of favorable outcomes we have is 3 because we are trying to find the probability of pulling out a blue marble
The number of possible outcomes is 12 because we have 12 total marbles
3/12 simplifies to 1/4 which is .25
The probability of drawing a blue marble is 0.25 or 25%
Second Question!
The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.
I Hope It's Helpful :0
Answer:
Step-by-step explanation:
X^2 = 9x + 6
x^2 - 9x - 6 = 0
use quadratic formula : (-b (+-) sqrt b^2 - 4ac) / (2a)
a = 1, b = -9, c = -6
now we sub
x = (-(-9) (+-) sqrt -9^2 - 4(1)(-6)) / 2(1)
x = 9 (+-) sqrt 81 + 24)/2
x = 9 (+-) sqrt 105) / 2
x = 9/2 + 1/2 sqrt 105 or x = 9/2 - 1/2 sqrt 105
