A man 6 feet tall walks at a rate 3 feet per second away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the length of his shadow moving? (6’) (b) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (9’) (Hint 1: ratio and proportion. Hint 2: rate changing of the tip of his shadow can be considered as the length of the distance combined by his distance from the base of light and the length of shadow.) 5. An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by cutting equal squares from the corners and turning up the sides. Find the maximum volume.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A man 6 feet tall walks at a rate 3 feet per second away from a light that is 15 feet
above the ground.
(a) When he is 10 feet from the base of the light, at what rate is the length of his
shadow moving? (6’)
(b) When he is 10 feet from the base of the light, at what rate is the tip of his
shadow moving? (9’)
(Hint 1: ratio and proportion. Hint 2: rate changing of the tip of his shadow can be
considered as the length of the distance combined by his distance from the base of
light and the length of shadow.)
5. An open box of maximum volume is to be made from a square piece of material,
24 inches on a side, by cutting equal squares from the corners and turning up the sides.
Find the maximum volume.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
