Practice Example 5 (9.1.5) - Some Applications of Trigonometry

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6 sample questions

Question 1.
If a tower is 15 m tall, what is the length of the shadow when the sun is at an angle of 30°?
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Use the tangent function.
Question 2.
What is the angle of elevation if a shadow of length 10 m is cast by a 5 m tall tower?
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Find the tangent and then use the inverse tangent function.
3Question 3.
What is the formula for finding the height of the tower using tangent?
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Think about opposite and adjacent sides of right triangles.
4Question 4.
True or False: The shadow length increases as the angle of elevation decreases.
- True
- False
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Consider the relationship between angle and shadow length.
Question 5.
A building casts a shadow that is three times as long as its height when the sun is at an angle of 30°. How tall is the building?
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Set up the relationship using tangent.
Question 6.
If a tree measures 8 m tall and casts a 4 m shadow when the angle of elevation is 60°, find the angle of elevation when it casts an 8 m shadow.
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Consider the tree's height against the shadow’s length.

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