The angle of elevation to the top of a building is found to be 15 degree from the ground at a distance of 550 feet from the base of the building. using this information, which expression below could be used to calculate the height of the building?

The question is not complete because it does not show the options, however, the problem can still be solved and serve as a teaching for the student.

see the picture attached to better understand the problem

we know that
in a right triangle ABC
 tan 15°=opposite side angle 15°/ adjacent side angle 15°
where
opposite side angle 15°= h (the height of the building)
adjacent side angle 15°=550 ft
so
tan 15°=h/550-----------> h=550*tan 15°----> h=147.37 ft

the answer is
the height of the building is 147.37 ft (round to the nearest hundredth)
and
 the expression to calculate the height of the building is
550*tan 15°

The correct answer is $90