NumericalModerate2 marks
6(c)
From the top of a cliff, the angle of depression of the top and bottom of a tower are observed to be 45° and 60° respectively. If the height of the tower is 20 m. Find :
the distance between the cliff and the tower.
Topic: Heights and distances
Previous-year question practice database
Answer
Solution diagram

Exam answer
OA = 27.32 m
Explanation
Distance between the cliff and the tower OA = BC = CP OA = 27.32 m
More from Height and Distances
A flagpole is erected at the top of a building. The angle of elevation of the top and foot of the flagpole from a point 100 m away, on the same level as that of the foot of the building, are 33° and 31° respectively. Find the height of the flagpole. Give your answer correct to the nearest metre. (Use Mathematical Tables for this question.)2026tower AB2025building CD2025The angle of elevation of the top of a 100 m high tree from two points A and B on the opposite side of the tree are 52° and 45° respectively. Find the distance AB, to the nearest metre.2024From the top of a tower 100 m high, a man observes the angle of depression of two ships A and B, on opposite sides of the tower as 45° and 38° respectively. If the foot of tower and the ships are in the same horizontal line, find the distance between two ships A and B to the nearest metre.
(Use Mathematical Tables for this question.)2023A lighthouse is 80 m high. The angle of elevation of its top from a point 80 m away from its foot along the same horizontal line is:2022