Learning Objectives Source/Example Questions
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1 Grade and Strand Learning Objectives Source/Example Questions.ca Ascent Education: n.com.ca A tree 66 meters high casts a 44-meter shadow. Find the angle of elevation of the sun. The pilot of a small private plane can look forward and see the control tower for a small airstrip. Beyond that is a large factory that is 3 milies from the airstrip. The angles of depression are 12.5 degrees and 4.8 degrees respectively. Find the airplane's altitude, to the nearest ten feet. The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points? (1) 30 (2) (3) (4) Find the length of the hypotenuse of a triangle when the side opposite the 60 degree angle is 6 inches A right triangle (roof of a house) has a base of 7 feet and a 22 degree angle. What is the height of the roof and what is the hypothenus of the triangle. A family is traveling due west on a road that passes a famous landmark. At a given time the bearing to the landmark is N 62 degrees W, and after the family travels 5 miles farther the bearing is N 38 degrees W. What is the closest the family will come to the landmark while on the road?
2 A and B are two towers, B being 4 km due east of A. The true bearings of a flagpole, C, from A and B are α east of north and α west of north respectively. The true bearings of a second flagpole, D, from A and B are (α + β) east of north and (α - β) west of north respectively. Assuming A, B, C, and D are on level ground, and that α = 25, β = 10, find the distance between C and D. A 90 ft high flag pole sits atop and in the corner of a 10 ft high, 10ft wide building. Hence, the tip of the flag pole is 100 ft above ground. The flag pole breaks at a point above the building roof so that an edge of the pole touches the building edge and the tip is touching the ground. How far above the building did the pole snap? Two men, starting at the same point, walk in opposite directions for 4 meters, then left, and walk another 3 meters. What is the distance between them? associated word problems The Mathematics Teacher. 99,4 p. 264 #14 The Mathematics Teacher 99,4 p. 264 #26 If a tree is 1 mile away, and I see it as 5 cm tall, how can I find its real height? In the figure, angle ABC and angle BDA are both right angles. If v + w = 35, and x + y = 37, what is the value of y? (see actual journal for figure) During a windstorm, a 32-foot vertical flag pole positioned on the ground cracks and bends in such a way that the top of the pole touches the ground 8 feet from the base of the pole. How many feet above the ground did the break occur?
3 I am trying to build a stand for a swing. The ends are A- frames out of 4 by 4's. The brace for the top is a 4 by 4. The legs are to be 4 feet apart and the length of each 8 feet. I need to miter the bottom of each of the 8 foot sections and the top of each to join to the 4 by 4 brace. What is the angle of the miter cut? Yahoo! Answers: Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32* 28' 30" ion Yahoo! Answers: Solve the triangle for which the given parts are a=27, b=21, and c=24. ion I need to find the height of a flagpole, but am not allowed within 10 feet of the pole. I can't measure the 10 foot limit, which makes accurate measurement of the pole's shadow impossible. How do I do it? D5- To solve word problems by A parallelogram has one side that is 12.0 cm and one angle that is 65. The shorter diagonal is 25.0 cm. To the nearest tenth of a centimetre, how long is the other side of the parallelogram? Use the sine law. D5- To solve word problems by Find the measure, to the nearest degree, of each angle of a triangle with sides of the given lengths. 26, 35, 40
4 D5- To solve word problems by I have a 3 pulley system with sides abc and pulleys ABC. Pulley A has radius of 10cm, pulley B has radius of 20cm, and pulley C has radius of 3cm. The side lengths are: (center to center of pulleys) between pulleys AB = 75cm, between pulleys BC = 100cm, and between pulleys AC = 50cm. I set these side lengths up as (according to law of sines and cosines) a = 100cm, b = 50cm, and c = 75cm. What is the length of the belt required for this system? What is the surface area of a triangle 13 ft x 13 ft x 18 ft? Find the are of a triangle whose vertices have coordinates (3,5),(6,-5), and (-4,10) The Mathematics Teacher: 98,5 p. 330 #30 The side lengths of a triangle are 14 cm, 48 cm, and 50 cm. How many square centimetres are in the area of the triangle? The Mathematics Teacher. 99,4 p. 264 #9: Given that angle ACB is a right angle, what is the area of triangle ABD in the figure? (see actual journal for figure)
5 D7- To solve word problems involving objective 6. D7- To solve word problems involving objective 6. Find the area of a right triangle that has a perimeter of length 16 meters and a hypotenuse with length 7 meters. If a triangle has sides 5, 6, and the square root of thirteen, what is the area of the triangle?
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