A building and a flag post on the same level ground. The height of the building is 19m and the flag post is 5m from the building. The angle of elevation of the top of the building from the top of the flag post is 63°. Calculate the height of the flagpost
Let the height of the flag post be h meters.
From the information given, we can form a right triangle with the building, flag post, and the line connecting the top of the building to the top of the flag post.
Using the tangent function, we can write:
tan(63°) = 19 / 5
tan(63°) = h / 5
Solving the first equation for h, we get:
h = 5 * tan(63°)
h = 5 * 1.951
h = 9.755
Therefore, the height of the flag post is approximately 9.755 meters.