This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)
4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
Answer: 1⁵/₈ pints
Step-by-step explanation:
First can contained 3¹/₄ pints and second can contained 6¹/₂.
To make them equal, first find the different;
= 6¹/₂ - 3¹/₄
= 6.5 - 3.25
= 3.25
Divide this difference by 2;
= 3.25/2
= 1.625
= 1⁶²⁵/₁₀₀₀
= 1⁵/₈ pints
If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.
