a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long.
2 answers:
Answer:
The flagpole is 40 feet tall.
Step-by-step explanation:
So, we are looking for the height of the flagpole. Let <em>h</em> represent this height.
Boy - 5 feet in height and casts a 20-foot shadow
Flag pole - <em>h</em> feet in height and casts a 160-foot shadow
The relationship looks something like this:
5 : 20 :: h : 160
or
Now, we can cross multiply to find h!
So, the flagpole is 40 feet tall
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Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
