In this lesson, we will learn how to solve problems involving angles of elevation and depression and how to use angles of elevation and depression to find the distance between two objects.

Q1:

In the given diagram, Jason is observing a buoy in the sea from the top of a cliff. Which of the following angles represents the angle of depression?

Q2:

In the given diagram of a ladder leaning against a wall, which of the following angles represents the ladderâ€™s angle of elevation?

Q3:

In the given diagram, Donald observes a buoy in the sea below him from a point 6 ft above a 45 ft cliff. He has been told that the perpendicular distance from the buoy to the base of the cliff is 60 ft. What is the angle of depression, in degrees, from Donald to the buoy? Give your solutions to two decimal places.

Q4:

Robert wants to find the height of an oak tree in his garden. He decides he needs to make a clinometer in order to measure the angle of elevation. He uses a straw, a protractor, some string, and a bit of Blu-Tack as a weight. Robert stands at a perpendicular distance of 85 ft from the base of the tree and measures the angle on his clinometer to be as seen in the diagram. Given that Robertâ€™s eyeline is 6 ft from the ground, work out the height of the tree to the nearest foot.