2022 · Q47
Consider the following for the next two (02) items that follow: From a point P located H metres above the surface of a lake, the angle of elevation of a cloud C is 30°. Let A be the point on the horizontal line through P such that CA is vertical and CA = H metres. The reflection of the cloud in the lake is observed from P at an angle of depression θ. What is PC equal to?
Elementary MathematicsTrigonometry
- AH metres
- B√2H metres
- C√3H metres
- D2H metres
Explanation
PC = √((H√3)²+H²) = √(4H²) = 2H. This is the familiar 30°–60°–90° triangle scaled by H. The keyed option is D.