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:
12.5 kilometers per hour
Step-by-step explanation:
Answer:
78 rounds to 80. So decrease 22% to 1/5. Increase 78 to 80. = 17.16.
I hope this will help you..
Answer:
<u>The equal monthly payment during 48 hours for buying a car is US$ 187.82</u>
Step-by-step explanation:
Loan from the bank to buy a car = US$ 9.015.20
Period of time to pay back the loan = 48 months
Form of payment = Equal monthly payments
Monthly payment = Loan from the bank / Period of time
Monthly payment = 9,015.20 / 48
<u>Monthly payment = US$ 187.82 (rounding to the nearest cent)</u>
<u>Each equal monthly payment during 48 months is US$ 187.82</u>
