Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:
The distance of the top of the pole to the ground is 15.43 ft.
Answer:
Step-by-step explanation:
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
Answer:
The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2
Step-by-step explanation:
In the real world, length and width only make sense when they are positive. For that to be the case, the width must be greater than 2. There is nothing in the description that restricts the values to integers.
Answer:
The domain of f(x) corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
Step-by-step explanation:
f(x)=X+18-3X-15
f(x)=-2X+3 (right line with negative slope)
This function exists for all values of X, so the domain corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
