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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Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).
<h3>What is the midpoint concept?</h3>The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
The center is the midpoint of the two coordinates of the diameter, hence:
For the x-coordinate:
x + 0.5 = -6
x = -6.5
For the y-coordinate:
y + 6 = 6
y = 0
More can be learned about the mid-point concept at brainly.com/question/10956693
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