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?
2 answers:
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
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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Answer:
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Step-by-step explanation:
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) ) → K' (- 1, 3 )
L (- 9, 0 ) → L' (- 9( ), 0 (
) ) → L' (- 3, 0 )
M (2, - 8 ) → M' (2 ( ), - 8 (
) ) → M' (
, -
)
N (6, 4 ) → N' (6 ( ) , 4 (
) ) → N' ( 2,
)