📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
HomeMathematics

Mathematics — CBSE Class 10 board question

Q1. [1]
An observer 1.8 m tall stands away from a chimney at a distance of 38.2 m along the ground. The angle of elevation of top of chimney from the eyes of observer is 45°. The height of chimney above the ground is
  1. A 38.2 m
  2. B 36.4 m
  3. C 40 m
  4. D $(38.2)\sqrt{2}$ m
Previously asked in CBSE board exam
2025 30/5/1 Q13
Generated by claude-sonnet-4-6 · 2026-06-15 10:37 · grounding rag
Model Answer

Option C: 40 m

Using tan 45° = 1, the horizontal distance from observer's eyes to chimney = 38.2 m. So the chimney height above eye level = 38.2 m. Total height = 38.2 + 1.8 = 40 m.

Explanation

This follows the same method as Example 3 in the textbook. The observer's eye level is 1.8 m above the ground. Since tan 45° = 1, the vertical rise from eye level equals the horizontal distance (38.2 m). Add the observer's height (1.8 m) to get the total chimney height: 38.2 + 1.8 = 40 m. Always remember to add the observer's height to the calculated vertical distance to get the height above ground.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.