Height and Distance MCQs

Prepare for Height and Distance MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

15 Solved Questions • 12 Mins Practice • Updated for 2026 Competitive Exams
MCQS
2026 Solved Edition · Updated October 2026 · Verified Editorial Standards

Welcome to the verified preparation module for Trigonometry on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Trigonometry (Mathematics).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

Direct Definition & Conceptual Scope

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Height and Distance constitutes an essential examination topic within Mathematics, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Solved Questions

Practice with answers, explanations, and exam-focused revision notes.

15 MCQs Page 1

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Topic Notes: Height and Distance

Quick Revision 3 min read 14 key points
Section 1 of 4

1 1. Fundamental Concepts

4 points
  • Definition
    Angle of Elevation: The angle formed by the line of sight with the horizontal plane when the object is viewed from a lower point looking upwards.
  • Definition
    Angle of Depression: The angle formed by the line of sight with the horizontal plane when the object is viewed from a higher point looking downwards.
  • Theory
    Geometric Basis: Height and distance problems are solved by modeling the scenario as a right-angled triangle where the vertical side represents the height and the horizontal side represents the distance.
  • Theory
    Trigonometric Ratios: Use tan(θ) = Opposite/Adjacent for height/distance, sin(θ) = Opposite/Hypotenuse for ladder/string length, and cos(θ) = Adjacent/Hypotenuse for ground distance.
Section 1 / 4
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1
The angle of elevation of the top of a building from the foot of a tower is 30 degrees and the angle of elevation of the top of the tower from the foot of the building is 60 degrees. If the tower is 50 meters high, what is the height of the building?
Moderate · 64% Accuracy
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2
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60 degrees. When he moves 20 meters away from the bank, the angle of elevation becomes 30 degrees. What is the height of the tree?
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3
If the height of a tower and the distance of the point of observation from its foot, both are increased by 10%, then the angle of elevation of the top of the tower will:
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4
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 meters away from the wall. What is the length of the ladder?
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5
A vertical stick 10 cm long casts a shadow 10√3 cm long on the ground. What is the angle of elevation of the sun?
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6
The angle of elevation of the top of a tower from two points at distances of 4 meters and 9 meters from the base of the tower and in the same straight line with it are complementary. What is the height of the tower?
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7
A tower stands vertically on the ground. From a point on the ground, which is 15 meters away from the foot of the tower, the angle of elevation of the top of the tower is 60 degrees. What is the height of the tower?
Moderate · 64% Accuracy
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8
Two poles of equal heights are standing opposite each other on either side of a road 80 meters wide. From a point between them on the road, the angles of elevation of the tops of the poles are 60 and 30 degrees. What is the height of each pole?
Moderate · 64% Accuracy
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9
From the top of a cliff 50 meters high, the angle of depression of a boat is 30 degrees. How far is the boat from the foot of the cliff?
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10
A kite is flying at a height of 60 meters above the ground. The string attached to the kite is tied to a point on the ground. If the inclination of the string with the ground is 60 degrees, what is the length of the string?
Moderate · 64% Accuracy
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Pedagogical Syllabus Blueprint

Height and Distance MCQs: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Height and Distance MCQs consistently constitute a decisive 10% to 25% weightage of the Trigonometry paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Height and Distance MCQs, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Mathematics, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.