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 required values are ~
Refer to attachment for solution ~
If a polygon has 5 sides, then it is a regular pentagon
False: regular pentagon = equiangular. There are pentagons that have 5 sides that are not equiangular
Answer:
x=+/-3
Step-by-step explanation:
x^4-5x^2-36=0
factor
(x^2-9)(x^2+4)=0
split into 2 equations because one of these terms will need to equal zero for the eqation to be true
x^2-9=0 x^2+4=0
x^2=9 x^2=-4
x=+/-3 no real numbers