Question

Missy stands at a horizontal distance of 45 ft from the base of a building. the angle of elevation from missy to the top of the building is 48°. what is the height of the building to the nearest foot?

Answer 1

The problem can be drawn as a right triangle (image attached) and we can use ratio of tan to determine the height of the building
tan of the angle = side in front of the angle / side adjacent to the angle
tan 48° = height of building / horizontal distance

plug the numbers into the equation above
height of building / horizontal distance = tan 48°
h/45 = tan 48°
h = tan 48° × 45
h = 1.1106 × 45
h = 49.98 feet

Answer 2

tan 48° =
`(height)/(45)`
height = tan 48° x 45 = 49.98 ft