Practice Example 6 (9.1.6) - Some Applications of Trigonometry

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6 sample questions

Question 1.
What is an angle of depression?
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Think about where you are looking from.
Question 2.
In a right triangle, what does the tangent of an angle represent?
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Remember the 'O' over 'A' in right triangles.
3Question 3.
What is the angle of depression to the bottom of the 8 m tall building?
- 30°
- 45°
- 60°
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Review the specifics of the angles mentioned in the example.
4Question 4.
True or False: The tangent of an angle is always equal to the opposite side divided by the adjacent side in a right triangle.
- True
- False
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Think of the basic trigonometric definitions.
Question 5.
A tower is 12 m high, and from its top, the angle of depression to a point on the ground is 60°. Calculate the distance from the base of the tower to that point.
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Use the definition of tangent to set up your equation.
Question 6.
If a building is twice the height of another at an angle of depression of 40°, how can you express the relationship of their heights and the angle?
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Think through how angle relationships occur on opposite sides.

5 more questions in this section. Enroll free to practise them all.