Working with Radial Surveys 3
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Question 1 of 5
1. Question
From the radial survey below, find `anglePOQ`:
- `anglePOQ=` (150)`°`
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A radial survey is a tool used for land and seafloor mapping. Each corner of the area being measured is connected to a central point.Notice that `anglePOQ` is the difference between the bearings of `P` and `Q`.Subtract the bearing of `P` from the bearing of `Q`.`anglePOQ` `=` `angleQ-angleP` `=` `236°-86°` Substitute the values `=` `150°` 
`150°` -
Question 2 of 5
2. Question
From the radial survey below, find `angleROQ`:- `angleROQ=` (85)`°`
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A radial survey is a tool used for land and seafloor mapping. Each corner of the area being measured is connected to a central point.Notice that `angleROQ` is the difference between the bearings of `Q` and `R`.Subtract the bearing of `Q` from the bearing of `R`.`angleROQ` `=` `angleR-angleQ` `=` `321°-236°` Substitute the values `=` `85°` 
`85°` -
Question 3 of 5
3. Question
From the radial survey below, find `angleROP`:- `angleROP=` (125)`°`
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A radial survey is a tool used for land and seafloor mapping. Each corner of the area being measured is connected to a central point.Since `angleROP` is the sum of `angleRON` and `angleNOP`, start with solving for `angleRON`.Knowing that a full revolution from `N` measures `360°`, subtract the bearing of `R` to get `angleRON``angleRON` `=` `360°-angleR` `=` `360°-321°` Substitute the values `=` `39°` 
Finally, proceed with adding `angleRON` and `angleNOP`.
`angleROP` `=` `angleRON+angleNOP` `=` `39°+86°` Substitute the values `=` `125°` `125°` -
Question 4 of 5
4. Question
From the radial survey below, find the area of `trianglePOQ`:
- Area of `trianglePOQ=` (1771)`m^2`
Hint
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Area of a Non-Right Angled Triangle
`A_triangle=1/2``a``b``sin``C`where:
`a` is the side opposite angle `A`
`b` is the side opposite angle `B`
`c` is the side opposite angle `C`A radial survey is a tool used for land and seafloor mapping. Each corner of the area being measured is connected to a central point.First, identify the known values of the triangle `POQ`.
Now, substitute the known values to the formula and solve for the area.
`a=77m``b=92m``C=150°``A_triangle` `=` `1/2``a``b``sin``C` `=` `1/2(``77``)(``92``)sin``150°` Substitute the values `=` `3542timessin150°` Evaluate `sin` `150` on your calculator `=` `1771m^2` `1771m^2` -
Question 5 of 5
5. Question
From the radial survey below, find the area of `triangleQOR`:
Round off to `2` decimal places- Area of `triangleQOR=` (2454.62)`m^2`
Hint
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Incorrect
Area of a Non-Right Angled Triangle
`A_triangle=1/2``a``b``sin``C`where:
`a` is the side opposite angle `A`
`b` is the side opposite angle `B`
`c` is the side opposite angle `C`A radial survey is a tool used for land and seafloor mapping. Each corner of the area being measured is connected to a central point.First, identify the known values of the triangle `QOR`.
Now, substitute the known values to the formula and solve for the area.
`a=64m``b=77m``C=85°``A_triangle` `=` `1/2``a``b``sin``C` `=` `1/2(``64``)(``77``)sin``85°` Evaluate `sin` `85` on your calculator `=` `2464times0.9961947` Simplify `=` `2454.6237408` `=` `2454.62m^2` Round off to `2` decimal places `2454.62m^2`