To solve this worksheet, we need to understand the difference between an
angle of elevation and an
angle of depression.
*
Angle of Elevation: This is the angle when you look
up at something. Imagine standing on the ground and looking up at a bird in the sky. Your line of sight goes upward from the horizontal.
*
Angle of Depression: This is the angle when you look
down at something. Imagine standing on a cliff and looking down at a boat in the water. Your line of sight goes downward from the horizontal.
In all these pictures, there is a dashed blue line representing the "horizontal" level (eye level). We just need to see if angle $A$ is above or below that dashed line.
Let's look at each problem:
1.
Helicopter and House: The helicopter is high up. The line of sight goes from the helicopter
down to the house. Angle $A$ is below the horizontal dashed line.
* This is an
angle of depression.
2.
Person and Volleyball: The person is standing tall. The volleyball is on the ground. The line of sight goes from the person's eyes
down to the ball. Angle $A$ is below the horizontal line.
* This is an
angle of depression.
3.
Hot Air Balloon and Person: The hot air balloon is in the sky. The person is on the ground. The line of sight goes from the balloon
down to the person. Angle $A$ is below the horizontal dashed line.
* This is an
angle of depression.
4.
Fish and Sailboat: The fish is underwater. The sailboat is on the surface. The line of sight goes from the fish
up to the boat. Angle $A$ is above the horizontal dashed line.
* This is an
angle of elevation.
5.
Bird and Tree: The bird is flying in the air. The tree top is lower than the bird. The line of sight goes from the bird
down to the tree. Angle $A$ is below the horizontal dashed line.
* This is an
angle of depression.
Final Answer:
1. angle of depression
2. angle of depression
3. angle of depression
4. angle of elevation
5. angle of depression
Parent Tip: Review the logic above to help your child master the concept of angle of elevation and depression worksheet.