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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Challenge and get performance evaluation