Question 14
TrigonometryPQRS is a desk of dimension 2m × 0.8m which is inclined at 30° to the horizontal. Find the angle θ marked in the figure.
- A.25°35′
- B.30°
- C.15°36′
- D.10°
Show the answer and explanation
Answer: D (10°)
Explanation
R is 0.8 sin 30° = 0.4 m above the floor and the diagonal PR = √(22 + 0.82) ≈ 2.15 m, so sin θ ≈ 0.4/2.15 and θ ≈ 10.7°, closest to 10°.