Practice Example 1 (9.1.1) - Some Applications of Trigonometry

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6 sample questions

Question 1.
What is the tan(45°)?
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Think of the definition of tangent.
Question 2.
If a tower has a height of 10 meters and is viewed from 10 meters away, what is the angle of elevation?
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Use tan(θ) = opposite/adjacent.
3Question 3.
What trigonometric function do we use to find the height of a tower via the angle of elevation?
- Sine
- Cosine
- Tangent
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Recall which function deals with opposite and adjacent sides.
4Question 4.
True or False: The angle of elevation can be greater than 90°.
- True
- False
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Think about how angles are defined.
Question 5.
A lighthouse is situated on a cliff. From a boat 50 meters away, the angle of elevation to the top of the lighthouse is 75°. What is the height of the lighthouse?
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Use the tangent function to find the height.
Question 6.
Two towers stand in a city, one is 30 meters tall, while the other tower's angle of elevation from a point 45 meters away is 70°. Find the height of the second tower.
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Set up the tangent ratio for the second tower.

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