Question

Finding the Lean of the Leaning Tower of Pisa The famous Leaning Tower of Pisa was originally 184.5 feet high.* At a distance of 123 feet from the base of the tower, the angle

of elevation to the top of the tower is found to be 60°. Find $\angle$RPQ indicated in the figure. Also, find the perpendicular distance from R to PQ.

Short answer

Angle $\angle RPQ=84.{74}^{\circ }.$

The perpendicular distance from R to PQ is$183.72$feet long.

Step-by-step solution

Step 1. Given Information

Height of Leaning tower of Pisa is 184.5m high.

The angle of elevation is found to be ${60}^{\circ }$at distance of 123 feet from the base of the tower.

We have to find $\angle RPQ$and the perpendicular distance from R to PQ.