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hram777 [196]
3 years ago
7

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?

Mathematics
2 answers:
natita [175]3 years ago
8 0
Tan 48° = \frac{height}{45}
height = tan 48° x 45 = 49.98 ft 
iogann1982 [59]3 years ago
3 0
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

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