Q3. - Geometry

Question

Give the distance and angle for each point.

1. $\mathrm{C}$
   
2. $\mathrm{A}$
   
3. $\mathrm{T}$
   
   

Step-by-Step Solution

Answer

1. The distance and angle for the point $C$ is $\left(2,210°\right)$.
2. The distance and angle for the point $A$ is $\left(\mathbf{1}\mathbf{.}\mathbf{5}\mathbf{,}\mathbf{150}\mathbf{°}\right)$.
3. The distance and angle for the point $T$ is $\left(1,0°\right)$.

Part a. Step 1. Observe the diagram.

The given diagram is:

Part a. Step 2. Observe the diagram.

Highlight the point $C$.

Part a. Step 3. Write the distance and angle for the given point.

From the above diagram it can be noticed that:

The point $C$ is lying at a distance of 2 and is lying at an angle of $210°$.

Therefore the distance and angle for the point $C$ is $\left(2,210°\right)$.

Part b. Step 1. Observe the diagram.

The given diagram is:

Part b. Step 2. Observe the diagram.

Highlight the point $A$.

Part b. Step 3. Write the distance and angle for the given point.

From the above diagram it can be noticed that:

The point $A$ is lying at a distance of $1.5$ and is lying at an angle of $150°$.

Therefore the distance and angle for the point $A$ is $\left(1.5,150°\right)$.

Part c. Step 1. Observe the diagram.

The given diagram is:

Part c. Step 2. Observe the diagram.

Highlight the point $T$.

Part c. Step 3. Write the distance and angle for the given point.

From the above diagram it can be noticed that:

The point $T$ is lying at a distance of 1 and is lying at an angle of $0°$.

Therefore, the distance and angle for the point $T$ is $\left(1,0°\right)$.