Applications of Trigonometric Quiz

Explore practical scenarios with these 5 application-based questions

Question 1 of 10

A mountain has an elevation of 2,500 meters. If the angle of elevation to the peak from a point on the ground is 35°, how far is the point from the base of the mountain?

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Applications of Trigonometric Quiz

Immerse yourself in the real-world applications of trigonometry with our quiz. Test your understanding of practical scenarios where trigonometric concepts play a crucial role. Enhance your problem-solving skills and explore the diverse applications of trigonometry in this engaging quiz.

Topics covered in this Applications of Trigonometric Quiz

  • Trigonometry in Real Life
  • Trigonometry in Engineering
  • Trigonometry in Physics
  • Trigonometry in Astronomy
  • Trigonometry in Navigation
  • Trigonometry in Music
  • Trigonometry in Architecture
  • Trigonometry in Computer Graphics
  • Applications of Trigonometry Practice
  • Trigonometry in Everyday Life

Few Questions in Applications of Trigonometric Quiz

  • A ladder is leaning against a wall. If the ladder is 15 feet long and forms a 60° angle with the ground, how high up the wall does the ladder reach?
  • In a right-angled triangle, if one acute angle measures 45° and the hypotenuse is 8 meters long, what is the length of the side opposite the 45° angle?
  • A boat is sailing straight towards a lighthouse. If the boat is 100 meters away from the lighthouse and the angle of elevation to the top of the lighthouse is 45°, how tall is the lighthouse?
  • A car is parked on a hill with a slope of 10°. If the car is 100 meters away from a point directly below it on the hill, how high is the hill?
  • A flagpole casts a shadow of 20 meters when the sun's angle of elevation is 40°. What is the height of the flagpole?
  • A tree casts a shadow of 15 meters when the sun's angle of elevation is 60°. What is the height of the tree?
  • A boat is sailing towards a lighthouse. If the angle of elevation to the top of the lighthouse is 15° and the boat is 500 meters away from the lighthouse, how tall is the lighthouse?
  • A telescope is positioned on top of a mountain. If the angle of depression to a star is 85° and the mountain is 4,000 meters tall, what is the distance from the star to the mountain's base?
  • A mountain climber is on a cliff. If the angle of elevation to the peak of the mountain is 60° and the climber is 200 meters above sea level, how high is the mountain peak?
  • A building casts a shadow of 40 meters when the sun's angle of elevation is 30°. What is the height of the building?
  • A tower casts a shadow of 60 meters when the sun's angle of elevation is 25°. What is the height of the tower?