The angle of elevation to a building is 30 degrees. From a point 20 m directly toward the building, the angle of elevation changes to 40 degrees. Find the height of the building. Include a diagram in your solution.
Do I make 3 triangles for this question?
Hello, sinjid9!
The angle of elevation to a building is 30°.
From a point 20 m closer to the building, the angle of elevation is 40°.
Find the height of the building. Include a diagram in your solution.Code:A o | * * | * * h | * * | * * | 40° * 30° * B o - - - - - - - - o - - - - - - - - o x D 20 C
The building is:
Let
In right triangle .[1]
In right triangle .[2]
Equate [1] and [2]: .
. . . . . . . .
Therefore: .