Answer:
h = 7.63 ft
Step-by-step explanation:
When a ladder leans against a wall, it forms a right angled triangle. The length of the ladder becomes the hypotenuse of the triangle, while the distance of the bottom of ladder from the wall and the height of top of the ladder from the ground becomes the perpendicular and base, depending upon the selected angle. Using Pythagora's Theorem in this right angled triangle:
Hypotenuse² = Perpendicular² + Base²
where,
Hypotenuse = Length of Ladder = 16 ft
Base = Distance between bottom of ladder and wall = x
Perpendicular = Height of top of of the ladder from ground = x + 6 ft
Therefore,
(16)² = x² + (x + 6)²
256 = x² + x² + 12x + 36
128 = x² + 6x + 18
x² + 6x - 110 = 0
solving the quadratic equation and using positive value:
x = 1.63 ft
So, the height of top of ladder is:
h = 1.63 ft + 6 ft
<u>h = 7.63 ft</u>
Answer:
First multiply 12 by 16 to find the total number of cans the boys collected.
12 * 16 = 192
Do the same thing with the girls.
15 * 14 = 210
Now, subtract the 2 amounts.
210 - 192 = 18
The girls collected 18 more cans than the boys.
Hope this helps!
Answer:
Its 2!
Step-by-step explanation:
It is 1/6 because if you calculate it it gives you the answer
She can water 12 plants because 3,000 divided by 250 equals 12.
Hope this Helps
