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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:
.003
Step-by-step explanation:
3 is in the thousandths place 3 spots to the right of the decimal
Answer:
2 4/16 = 2 1/4 lb
Step-by-step explanation:
The pointer is 4 of the smallest units above 2. There are 16 of those small units. Each 2 of those units is 1/8 pound, so when the pointer is on a multiple of 2 units, it is on a multiple of 1/8 pound. No guesswork is required to choose the correct weight to the nearest 1/8 pound.
2 4/16 = 2 1/4 lb . . . . the scale reading to the nearest 1/8 pound.
The awnser is B because It has more X marks
