Set up an equation of ratios as shown below:
h 24 ft 4
----- = ---------- = ---
4 6 ft 1
Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)
Answer: 114.37 ft
Step-by-step explanation:
If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (
), the opposite leg is the height the ladder will reach 
, and the adjacent leg is the distance between the base of the ladder and the building (
); we have two options:
1) Using trigonometric functions, since we are given the angle 
2) Using the Pithagorean Theorem
Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:
Isolating :
Adding to this height the extra height of 
(since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):
This is the height the ladder will reach
Answer:
x = -14, 4
Step-by-step explanation:
9 = |x + 5|
~Split into 2 equations
x + 5 = -9 and x + 5 = 9
~Solve for x in both
x + 5 = -9
x = -14
x + 5 = 9
x = 4
Best of Luck!
Answer:
Step-by-step explanation:
Check:
OK.
8*100=20*x
800 =20x
40 =x
40 items are in the basket
