Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
Answer:
Step-by-step explanation:
we know that
There are 
people in Springfield. 
of the population of Springfield are under the age of 
so
To calculate how many people are under in Springfield
Multiply by
The horizontal and vertical vector components of the velocity vector V, namely Vx and Vy are; 505.32 ft/s and 721.57 ft/s respectively
<h3>Horizontal and Vertical components of vectors</h3>
For ease of computation since vectors have magnitude and direction; they are resolved into horizontal and vertical components.
By convention, the horizontal, Vx and vertical components, Vy are as follows;
- Vx = V cos π
- Vy = V sin π
where π = angle of inclination to the horizontal.
Hence,
- Vx = 881 × cos55° = 505.32 ft/s
- Vy = 881 × sin55° = 721.57 ft/s
Read more on vectors and direction;
brainly.com/question/4417902
This is a right triangle equation
so a^2 + b^2 = c^2
c^2 is the hypotenuse and the 15 feet
a^2 + 9^2 = 15^2
a^2 + 81 = 225
a^2 = 144
the square root of 144 is 12
the tree is 12 feet tall
