Check the picture below.
now, we're assuming "to the building" means "to the ground", since we don't know the building's height, so we're also assuming the 1200m is above the building, as you see in the picture.
make sure your calculator is in Degree mode.
The distance from the plane to the building is 2556.06 m.
In such problem, we use the trigonometric ratio to find either distance or height when one is given along with angle.
Here as you can be inferred from the diagram below we have the height and angle of depression (θ) to a building is 28°.
so we can apply sin θ =[tex]\frac{perpendicular}{hypotenous}[/tex]
[tex]= \frac{height }{ distance required to know}[/tex]
therefore
sin 28° =[tex]\frac{1200}{ x}[/tex]
0.4694 = [tex]\frac{1200}{x}[/tex]
x = 2556.06 m
Thus, the distance from the plane to the building is 2556.06 m.
Learn more about Height and distance problem more-https://brainly.com/question/13038716
#SPJ2
