Practice Example 1.27: Height Calculation of a Lighthouse - 1.9 | 1. Examples and Solutions | Surveying and Geomatics
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Example 1.27: Height Calculation of a Lighthouse

1.9 - Example 1.27: Height Calculation of a Lighthouse

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an angle of depression?

💡 Hint: Think about how you would describe looking down at something.

Question 2 Easy

What does cotangent of an angle represent?

💡 Hint: Recall how tangent is the opposite over adjacent.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the height of a lighthouse if the angles of depression to two ships are 30° and 45°?

40 m
50 m
60 m

💡 Hint: Calculate using Height = 100 / (cot(30°) - cot(45°)).

Question 2

True or False: The angle of depression is always measured upward from horizontal.

True
False

💡 Hint: Think about how you observe objects below.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

From the top of a tower, the angles of depression to two points on the ground are 20° and 50°; if they are 150 m apart, find the height of the tower.

💡 Hint: Break down the angles and distances before calculating the difference.

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Reference links

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