Multiple choice

The height of two poles are 80 m. and 63.5 m. If the line joining their tops makes an angle of 45o with the horizontal, then the distance between the poles is -

  1. 16.5 m.

  2. 56.4 m.

  3. 12.33 m.

  4. 44 m.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The height difference between poles is 80 - 63.5 = 16.5 m. Since the line joining tops makes a 45° angle with horizontal, the horizontal distance equals the vertical difference. Using tan45° = 1 = opposite/adjacent, the distance = 16.5 m. This matches the claimed answer A.