Respuesta :

For this case we can model the problem as a rectangle triangle where we have:
 Base of the triangle
 Angle between the base and the hypotenuse of the triangle
 We want to find:
 The height of the triangle
 For this, we use the following trigonometric relationship:
 [tex]tan (45) = h / 185 [/tex]
 Clearing the height we have:
 [tex]h = 185 * tan (45) h = 185 feet[/tex]
 Answer:
 
the height of the building is:
 
h = 185 feet
see the attached picture to better understand the problem

we know that
in the right triangle ABC
tan 45°=BC/AC----> BC=AC*tan 45°----> BC=185*tan 45°---> BC=185 ft

the answer is
the height of the building is 185 ft
Ver imagen calculista