Trigonometry one.

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Module 2: Trigonometry

Lesson 4: Solving problems using Trigonometric Ratios

Assignment – Please show all your work!

/4 1. You are walking on a trail that has an incline of 12 degrees. If the hill is 500m high, how far will you walk to get to the top to the nearest metre?

/4 2. A seam of coal has an angle of depression of 12 degrees and comes to the surface 6 km from your property.

How deep will you have to dig to get to the coal bed on your property to the nearest thousandth of a kilometre (3 decimal places)?

/4 3. While visiting Calgary, at a certain point, the angle between the ground and your line of sight to the top of the Calgary Tower is 81 degrees. The tower is 191 m high. How far are you standing from the tower to the nearest metre?

/3 4. A ski lift rises 522 m vertically and is 1366 m long. What is the angle of elevation of the ski lift? Give your answer to the nearest degree.

/3 5. A poplar tree is 16 m tall and casts a shadow 24 m. What is the measure of the angle of elevation from the tip of the shadow to the top of the tree to the nearest degree?

Assignment Grade: /18

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