December 1st, 2012 
gayathri 
In the piece of stained glass shown, segments AC, GD and FE are parallel. What are the measures of angles 1 to 7? Justify each answer with the appropriate statements. Solution ANGLE1 = 180– 84 = 96 (Supplementary angles) Therefore ANGLE2 = 96 (Corresponding angles) ANGLE3 = 180 – [...]
November 10th, 2012 gayathri Question Ramaya has $250 dollars to spend on items that she needs for her trip to Beijing. She enters one store and decides to buy 2 pairs of socks that cost $ 5.50/pair; 3 shirts that cost $12, $15.50 and $20 respectively; and a coat that costs $125.35. She pays for all of these and leaves [...]
October 2nd, 2012 admin 
A 5m antenna is supported by two cables that are 2 m apart. The angle of elevation of the longer cable is 600. To the nearest metre, what is the area of the triangle ABD? Answer: Let CD = x m Tan 600 = [...]
September 15th, 2012 admin 
Peter and Marlene are situated at points P and M respectively to watch a parachutist who is 300 m above the ground. Peter observes the parachutist at an angle of elevation of 260 and Marlene observes the parachutist at an angle of elevation of 320. Rounded to the nearest metre, what is the distance d [...]
September 4th, 2012 admin 
The drawing below is the side view of a building. The sloped roof lengths measure 12 m and 15 m, respectively. Angle A has a measure of 350 What is the area of the side view of this roof? Answer: Sin 350 = x/12 [...]
August 15th, 2012 admin 
In triangle ABC below, side AB measures 6 units, side BC measures 5 units and side AC measures 4 units. Question: What is the measure of ∠A ? Answer: In a triangle, a2 = b2 + c2 – 2bc Cos A 52 = 62 + [...]
August 2nd, 2012 admin 
Villages A, B, C are located at the vertices of a triangle, as shown in the figure on the right. Question: Given the information in the diagram, what is the distance between the villages B and C? Round your answer to the nearest tenth of a kilometre. [...]
July 18th, 2012 admin 
Consider the triangle ABC below. Question: What is the measure of obtuse angle ACB to the nearest degree? Answer: In a triangle, a/sin A = b/sin B = c/Sin C AC/Sin B = AB/Sin C 120/(√3/2) = 135/Sin C Sin C= 0.97427 ∠C = Sin -1 [...]
July 7th, 2012 admin 
Question: Two adjacent lots are represented by the isosceles trapezoid and square shown below. What is the area of the square? Answer: EF = 21 m AE = FD = 6 m Cos 770 = FD / CD CD = FD/Cos 770 =6/Cos 770 = 26.67 m Area of the square = 26.672 = [...]
June 21st, 2012 admin 
Trignometry The base MN of the roof of a house measures 12 m and the angle of inclination is 400. Which of the following equations can be used to calculate the height, h, in metres? Answer: Let the height of the roof LO = X Tan 400 = X/6 X= 6 Tan 400 H = [...]
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