Question 35
TrigonometryIn the diagram above QTR is a straight line and ∠PQT = 30°. Find the sine of ∠PTR
- A.8/15
- B.2/3
- C.3/4
- D.15/16
Show the answer and explanation
Answer: D (15/16)
Explanation
In triangle PQT, sin∠PTQ/PQ = sin 30°/PT, so sin∠PTQ = (15 × ½)/8 = 15/16. ∠PTR = 180° − ∠PTQ has the same sine.