Concept explainers
Length A woman 5 ft tall is standing near a street lamp that is 12 ft tall, as shown in the figure. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.
To find: The function that models the length
Answer to Problem 12P
The function that models
Explanation of Solution
The geometric figure of the situation is shown below,
Figure (1)
In triangle AOB as shown in Figure (1), OA is height of street lamp, CD is height of woman, L is the length of shadow of woman and d is the distance of woman from base of street lamp.
Height of woman is
Triangles
Mathematically,
Substitute 5 for CD, 12 for AO, L for BD and BO for
Subtract
Thus, the function that models
Chapter 2 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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