The Tower Seen From a Rooftop

Young Math BrainsCBSE Class 10 Board Prep App
Explore Full App →
Some Applications of Trigonometry

The Tower Seen From a Rooftop

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 3

The problem

From the top of a building 30 m high, the angle of elevation of the top of a tower is 30∘30^\circ and the angle of depression of its foot is 45∘45^\circ. Find the height of the tower. (Use 3=1.732\sqrt{3} = 1.732.)

Step 1 · Your move

The 45° angle of depression looks down to the foot of the tower. How far apart are the building and the tower?

Horizontal line from the rooftop splits the tower.
Helpful?