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 [...]
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Angle of Elevation
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 = [...]
Trigonometry – Calculate Distance
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 [...]
Trigonometry – Area
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 [...]
Trigonometry – Measure of Angles
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 + [...]
Trigonometry – Vertices of Tirangle
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. [...]
Trigonometry – Obtuse Angle Triangle
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 [...]
Trigonometry – trapezoid and square
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 = [...]
Trigonometry
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 = [...]
Surface Area and Money
May 15th, 2012 admin 
Theory: Finding surface area is basically finding the area of all the sides of a 3D figure. Take into consideration how many sides the 3D figure has and locate where the dimensions are. After doing so, find the individual areas of each side using the basic area formulas. When you have found the areas for [...]
