For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
the answer is 8.962790 because it is rounded to the nearest millionth
I hope this helps you
Answer:
f(x)= (-4)/(5-X)
Step-by-step explanation:
A dilation is when the figure is enlarged and a reduction is when the figure is reduced, smaller.
The scale factor for dilation is > 1 and reduction >0,<1
