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
Put it equal to the thousands place, since the last number in the decimal is in the thousand's.
330/1000.
Simplify by 10.
33/100
That is the farthest you can simplify it.
I hope this helps you!
Brainliest answer is always appreciated!
Answer:Scott is over 3 times older that Kate
Step-by-step explanation:
Kate is 3 years old. Her brother, Scott is 10 years old.
A) The ratio of Scott's age to Kate's age would be Scott's age divided by Kate's age. It becomes
10/3
B) To determine how many times older than Kate is Scott, we would express the ratio of their ages in decimal. Therefore
10/3 = 3.33
Therefore, Scott is over 3 times older that Kate
Answer:
y = 4
Step-by-step explanation:
-1y = -4
Divide both sides by -1 to get y by itself.
-1/-1 = -4/-1
y = 4
It's positive because there are two negatives, which mean they cancel out.