CAT 2023 Trigonometry Question (Medium)

Question

A person observes the top of a building from a point, the angle of elevation is 30 degrees. He moves 500 m towards the building and angle of elevation of the top of the building changes to 75 degrees. Find the height of the building.

Optima Learn · Accepted Answer

Understanding the Setup Let height h, and let the closer distance to the building s foot be x. tan 75 h x. tan 30 h x 500 . Analyzing and Solving tan 75 2 3. So x h 2 3 . Also x 500 h tan 30 h 3. Substituting h 2 3 500 h 3 500 h 3 h 2 3 h 3 2 3 1 2 3 h 2 3 3 1 2 3 h 2 3 2 2 3 . Evaluating the Option

CAT 2023 Trigonometry — Previous Year Question

CAT 2023

Quantitative

Trigonometry

Medium

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