Answer:
Option 3. 71 ft. is the distance between B and top of the hill.
Step-by-step explanation:
Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.
It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.
We have to find the distance of B from the top of the hill.
Now from ΔACO ![tan 65 = \frac{h}{45-x} = 2.14](https://tex.z-dn.net/?f=tan%2065%20%3D%20%5Cfrac%7Bh%7D%7B45-x%7D%20%3D%202.14)
![h=2.14(45-x)](https://tex.z-dn.net/?f=h%3D2.14%2845-x%29)
From ΔBCO ![tan80 = \frac{h}{x} = 5.67](https://tex.z-dn.net/?f=tan80%20%3D%20%5Cfrac%7Bh%7D%7Bx%7D%20%3D%205.67)
h = 5.67x
Now h = 5.67x = 2.14(45-x)
5.67x = 96.3 - 2.14x
2.14x + 5.67x = 96.3
7.81x = 96.3
x = 96.3/7.81 = 12.33 ft
Therefore ![cos80 = \frac{x}{OB}](https://tex.z-dn.net/?f=cos80%20%3D%20%5Cfrac%7Bx%7D%7BOB%7D)
![0.174 = \frac{12.33}{OB}](https://tex.z-dn.net/?f=0.174%20%3D%20%5Cfrac%7B12.33%7D%7BOB%7D)
![OB = \frac{12.33}{.174}=70.86=71ft.](https://tex.z-dn.net/?f=OB%20%3D%20%5Cfrac%7B12.33%7D%7B.174%7D%3D70.86%3D71ft.)
Therefore 71 ft is the distance between B and the top of the hill.
Answer:
t = sqrt(500/4.9) =~ 10.1 seconds/
Answer: 10.1015 seconds (this is approximate)
Step-by-step explanation:
Use 4.9t^2 + v0t = s
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
s = 4.9t^2 + v0t = 500
4.9t^2 = 500
t = sqrt(500/4.9) =~ 10.1 seconds
Part A)
v = initial velocity = 0
s = 500 = vertical distance the object travels (from plane to ground)
Plug in the given values and solve for t
4.9t^2 + v*t = s
4.9t^2 + 0*t = 500
4.9t^2 + 0 = 500
4.9t^2 = 500
t^2 = 500/4.9
t^2 = 102.04081632653
t = sqrt(102.04081632653)
t = 10.101525445522
t = 10.1015
Answer: 10.1015 seconds (this is approximate)
Answer:
b)
a)
a)
Step-by-step explanation:
hope this helps i havent done this in a while
There are three negative signs so the product will be a negative.
hope this helps
Answer:
Neither
Step-by-step explanation:
The slopes are not opposite and they are not equal either
line up 2x+3y=42 and -3x +2y=16
2x+3y=42=-3x+2y=16
get each term on one side and isolate.
If this is not possible, you have your answer. Another way to do this is graphing it and seeing if the two lines intersect, and if they do, if they make a right angle