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: 7/1000 (choice C)
This is because the 7 is in the thousandths decimal place. We put the 7 over 1000 to form the fraction 7/1000.
192 feet
formula 1/2(b*h)n
1/2(6*8)8
1/2(48)8
24*8
192
Answer:
3.8
Step-by-step explanation:
h(t) = -4.9 t² + v₀ t + h₀
Given that v₀ = 0 and h₀ = 70:
h(t) = -4.9 t² + 70
When the rock hits the ground, h(t) = 0.
0 = -4.9 t² + 70
4.9 t² = 70
t² = 14.3
t = 3.8
The rock hits the ground after 3.8 seconds.
