Practice Example 7 (9.1.7) - Some Applications of Trigonometry

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6 sample questions

Question 1.
What is the angle of depression from the top of a 5 m tall building to the ground?
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The angle of depression is observed directly downward to the ground.
Question 2.
If the height is 6 m and the angle is 45°, what is the distance to the base?
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Use the tan function for calculation.
3Question 3.
What is the angle of depression if you are looking directly down?
- 0°
- 45°
- 90°
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Think about how steep the angle is.
4Question 4.
True or False: The height of the bridge affects the angle of depression.
- True
- False
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Consider what angle really represents.
Question 5.
From a tower of height 15 m, two angles of depression to points on the ground are seen as 30° and 75°. Calculate how wide the area between those points is.
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Calculate each distance individually, adding them up for total width.
Question 6.
A lighthouse stands at a height of 20 m. Calculate the distance to the shores visible at angles of 50° and 40°. What is the distance between the two shores?
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Set up equations using tan before calculating.

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