Trigonometry Practice Questions

Q1: What is the elevation angle from the base of a building to the top of its antenna if the height of the building is 150 meters and the distance from the observer to the base of the building is 200 meters? Q2: An observer looks up at a hot air balloon with an elevation angle of 30 degrees. If the observer is standing 500 meters away from a point directly beneath the balloon, how high is the balloon above the ground? Q3: How would the elevation angle change if the observer steps 100 meters further back while looking at the same building in question 1? Q4: What is the elevation angle to the top of a tree if you are standing 20 meters away and the tree is 25 meters tall?

Q5: If a pilot looks down at an angle of depression of 15 degrees to see a landmark, and the airplane is 2000 meters above ground, how far horizontally is the airplane from the landmark? Q6: From the top of a lighthouse, an observer notices a boat with a depression angle of 5 degrees. If the lighthouse height is 50 meters, how far is the boat from the base of the lighthouse? Q7: How would the angle of depression change if the boat in question 6 moves 100 meters farther from the lighthouse? Q8: What is the angle of depression from the top of a 100 meter cliff to a point on the ground 400 meters away from its base?