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A tourist whose eyes are 1.7 m above her feet stands at the very edge of a vertical cliff 48.3 m high in Goa and looks down at a beach umbrella on the level sand below.
The angle of depression of the umbrella from her eyes is 45°.
Find the exact horizontal distance (in m) of the umbrella from the foot of the cliff.

Class 10Heights and DistancesTrigonometry
  • A48.3
  • B46.6
  • C
  • D50

Step-by-Step Solution

Her eyes are 48.3 + 1.7 = 50 m above the sand. tan m. Using only the cliff height of 48.3 m forgets that she is looking from eye level, 1.7 m higher up.
Answer: D) 50

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