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If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

Correct answer: B. 60°

  • A. 50°
  • B. 60°
  • C. 70°
  • D. 80°

Explanation

For the right triangle, tan θ = opposite/adjacent = 2√3 m ÷ 2 m = √3, and tan 60° = √3, so θ = 60°. The likely mistake is choosing 30°, which is the complementary angle in the right triangle rather than the angle of elevation.

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About Triangles and Angles

Triangles and angles involve angle pairs, vertically opposite angles, parallel lines, triangle angle sums, exterior angles, congruence, similarity, and the Pythagorean theorem. Questions also test properties of isosceles and equilateral triangles, with similarity focusing on proportional sides while congruence requires identical size and shape.

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