Practice Example 5 - 9.1.5 | 9. Some Applications of Trigonometry | CBSE 10 Mathematics
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Example 5

9.1.5 - Example 5

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

If a tower is 15 m tall, what is the length of the shadow when the sun is at an angle of 30°?

💡 Hint: Use the tangent function.

Question 2 Easy

What is the angle of elevation if a shadow of length 10 m is cast by a 5 m tall tower?

💡 Hint: Find the tangent and then use the inverse tangent function.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for finding the height of the tower using tangent?

💡 Hint: Think about opposite and adjacent sides of right triangles.

Question 2

True or False: The shadow length increases as the angle of elevation decreases.

True
False

💡 Hint: Consider the relationship between angle and shadow length.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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?

💡 Hint: Set up the relationship using tangent.

Challenge 2 Hard

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.

💡 Hint: Consider the tree's height against the shadow’s length.

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