A tower stands vertically on the ground. From a point which is 15 meter away from the foot of the tower, the angle of elevation of the top of the tower is 45º. What is the height of the tower?

Step 1: Analyse the given data.
Key words to understand the question.
Step 2: When we want to solve the problems of heights and distances, we should consider the following:
Step 3: According to the given data make a imaginary figure.
GIVEN: Angle of elevation = 45\degree
Distance between the foot of the tower and the observation point = 15 meters
Height of the tower = ?
AB - tower height
Step 4: Find the suitable trigonometric ratio to calculate the height of the tower
NOTE: We know the adjacent side and we need to find the opposite side.
Hence we need to consider the trigonometric ratio “tan” .
\tan \theta = \frac{opposite}{adjacent}
\tan45\degree=\frac{opposite}{15}
Opposite side = 15 meters
Height of the tower = 15 meters