Answer: 333.2ft
Step-by-step explanation:
We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)
The height of the building is the other cathetus.
Now, we know that the angle of depression from the top of the building to the car is 42°
This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:
90° - 42° = 48°
if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.
Here we can use the relation:
Tan(A) = Opposite cathetus/adjacent cathetus:
Then:
Tan(48°) = H/300ft
Tan(48°)*300ft = H = 333.2ft
Answer:
x>-2
Step-by-step explanation:
to get the -3x alone, we have to subract 1 from 6
7-1 = 6
-3x<6
6/-3 = -2
flip the symbol since we divided by a negative number
x> -2
Let y represent Tim's age and let x represent Chris's age.
y=3x
y=x+14
Set the two equations equal to each other:
3x=x+14
Subtract the x from the one side to get it on the other side.
2x=14
Divide by 2 on both sides
14/2=7
x=7
Plug it back in and see if it works:
y=3(7)=21
Other equation:
7+14=21
x=7
y=21
1/10 for Hugh to be first and after he is picked only 9 students remain so 1/9 for stu and after he is picked only 8 remain to be chosen so 1/8 for lou. The chance of all three happening is 1/10×1/9×1/8=1/720 this is the probability that 3 triplets will be chosen in that exact order out of 10 students
0.647 rounded to the nearest tenth = 0.6
