Height of flagpole is 15.9 feet
Solution:
Given that,
From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53º
To find: height of flagpole
The figure is attached below
BC = distance between point and base of flagpole = 12
AB = height of flagpole = ?
By defintion of tan,
[tex]tan\ 53 = \frac{AB}{BC}[/tex]
[tex]tan\ 53 = \frac{AB}{12}\\\\AB = tan\ 53 \times 12\\\\AB = 1.327044 \times 12\\\\AB = 15.9245\\\\AB \approx 15.9[/tex]
Thus height of flagpole is 15.9 feet
