Kundali IQ
Menu ☰
SSC Maths AcademyHomeSchool 6–12Free notesExplore allMy study planSearchExamsTeachers & parentsPricingFAQOpen appGet it on Google Play

Home › Exam notes › SSC CGL › Heights and Distances

Heights and Distances

Quantitative Aptitude · Maths Bookwise · Geometry & Mensuration

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Heights and Distances

FOUNDATION

tan θ = height / horizontal distance.

METHOD

Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.

WORKED EXAMPLE 1

A ladder of 660 m reaches a wall with its foot 528 m away. What height (m)?

By right-triangle relation, height = √(660²−528²) = √156816 = 396 m.

WORKED EXAMPLE 2

A ladder of 1370 m reaches a wall with its foot 1096 m away. What height (m)?

By right-triangle relation, height = √(1370²−1096²) = √675684 = 822 m.

IMPORTANT EXCEPTION / COMMON TRAP

Identify the measured angle before selecting tan/sin/cos.

QUICK REVISION

tan θ = height / horizontal distance.

SEE MORE: https://study.kundali-iq.com/ssc-maths/height/

For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.

Practice MCQs

  1. A ladder of 660 m reaches a wall with its foot 528 m away. What height (m)?

    1. 422
    2. 396
    3. 370
    4. 448

    Read chapter notes · Similar questions

    Show answer

    Answer: (b) 396. By right-triangle relation, height = √(660²−528²) = √156816 = 396 m.

  2. A ladder of 1370 m reaches a wall with its foot 1096 m away. What height (m)?

    1. 930
    2. 822
    3. 876
    4. 768

    Read chapter notes · Similar questions

    Show answer

    Answer: (b) 822. By right-triangle relation, height = √(1370²−1096²) = √675684 = 822 m.

  3. A ladder of 2005 m reaches a wall with its foot 1604 m away. What height (m)?

    1. 1123
    2. 1203
    3. 1363
    4. 1283

    Read chapter notes · Similar questions

    Show answer

    Answer: (b) 1203. By right-triangle relation, height = √(2005²−1604²) = √1447209 = 1203 m.

  4. A ladder of 2145 m reaches a wall with its foot 1716 m away. What height (m)?

    1. 1287
    2. 1457
    3. 1372
    4. 1202

    Read chapter notes · Similar questions

    Show answer

    Answer: (a) 1287. By right-triangle relation, height = √(2145²−1716²) = √1656369 = 1287 m.

  5. A tower is observed from a point 18 m from its foot on level ground. If the angle of elevation is 45°, what is its height

    1. 9 m
    2. 18 m
    3. 36 m
    4. 18√2 m

    Read chapter notes · Similar questions

    Show answer

    Answer: (b) 18 m. tan 45° = height/18 = 1, so height = 18 m.

More topics in this chapter

Notes and questions are written by Kundali IQ for practice. They are not official papers; always check the latest official notification for the syllabus and pattern.