Question
From a point B that is 9 meters above level ground , the angle of elevation of the top of a building is 43 degrees and the angle of depression of the base of the building is 7 degrees. What is the height of the building.
(tell what formula and why you used it will very much be appreciated)
(tell what formula and why you used it will very much be appreciated)
Answers
draw a horizontal line from B to where it intersects the building wall. Call that point C.
Label the top of the building A, and the bottom D.
The height of the building is thus
AD = AC + CD
AC/BC = tan 43°
CD/BC = tan 7°
Now, you see that without knowing the distance BC, there is no way to determine the height of the building. The farther away you are, the higher the building.
Label the top of the building A, and the bottom D.
The height of the building is thus
AD = AC + CD
AC/BC = tan 43°
CD/BC = tan 7°
Now, you see that without knowing the distance BC, there is no way to determine the height of the building. The farther away you are, the higher the building.
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