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MathematicsTopic Question Bank50+ Solved MCQsUpdated October 2026👁️ 3.8k Topic Views

Heights and Distances Questions & Answers

Master problem-solving techniques, shortcut tricks, and formulas for Heights and Distances. Solve graded practice questions with complete step-by-step mathematical solutions.

Relevant Exams:SSC CGLSBI PO & ClerkIBPS PORRB NTPCCAT / MBA

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Heights and Distances — Key Concepts & Shortcuts

•Master core formulas and fundamental algebraic/arithmetic principles for Heights and Distances.
•Apply approximation techniques and calculation shortcuts to solve problems within 45 seconds.
•Practice 2-tier questions and review step-by-step derivations for complex problems.

Practice Questions for Heights and Distances

8+ Solved MCQs

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From the top of a cliff 60 meters high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is:

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Heights and Distances Questions & Answers

Heights and Distances — Key Concepts & Shortcuts

Practice Questions for Heights and Distances

From the top of a cliff 60 meters high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is:

A man of height 1.86 m is standing on top of a 13.14-m-high building. He observes a tower, where the angles of elevation and depression of the top and bottom of the tower are 30° and 60° respectively. Find the height of the tower (in m).

The tops of two vertical electric poles are tied with strings to the same point on the ground. If both strings are 100 m long and are inclined at angles of 45° and 60° respectively to the ground, then find the difference in the heights of the two poles (in m).

A pole of height 4 m is fixed on the top of a tower. The angle of elevation of the top of the pole as observed from a point on the ground is 60° and the angle of depression of the same point on the ground from the top of the tower is 45°. The height (in m) of the tower is:

From the top of a 20 m tall tower, the angles of depression of the top and the foot of a vertical pole are 30° and 60° respectively. What is the height of the pole?

When the length of the shadow of a building is equal to the height of the building, find the angle of elevation of the source of light.

The angles of elevation of the top of a tower from two points on the ground at distances of 18 m and 32 m from the foot of the tower, and in the same straight line with it, are complementary. Find the height of the tower.

The distance between two vertical poles of heights 16 metres and 4 metres respectively is y metres. If the angles of elevation of their respective tops from the mid-point of the line joining their feet are complementary to each other, then the value of y is:

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