Years
>
Year 9>
Bearings>
Using Bearings and Distances to Find Angles>
Using Bearings and Distances to Find AnglesUsing Bearings and Distances to Find Angles
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 2 questions completed
Questions:
- 1
- 2
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- Answered
- Review
-
Question 1 of 2
1. Question
Find the value of `angle PQR` using the bearing of `Q` from `P`.
- `/_PQR=` (146)`°`
Hint
Help VideoCorrect
Nice Job!
Incorrect
First, we can add a vertical line that goes through point `Q`.
add a vertical line through point QThis will indicate that part of `angle PQR` is a right angle, which is `90°`.
Next, notice that the two vertical lines are parallel.From there, we can see that a part of `angle PQR` is an alternate angle to `angle NPQ`.
Since alternate angles are equal, the missing angle also measures `• 56°`.Finally, we can add `• 56°` to the right angle to find the value of `angle PQR`.`/_PQR` `=` `90°+56°` `=` `146°` `/_ PQR=146°` -
Question 2 of 2
2. Question
Find the value of interior angles `X`, `Y`, and `Z` using the given bearings.
-
`angleX=` (49)`°``angleY=` (40)`°``angleZ=` (91)`°`
Hint
Help VideoCorrect
Great Work!
Incorrect
Complementary angles are when two angles have a sum of `90°.` Typically, these angles form a right angle.The sum of the interior angles in a triangle is `180°`.First, notice that `angleX` and the given bearing of `B` from `A` are complementary angles.
Since complementary angles are equal to `90°`, we can simply subtract the bearing of `B` from `A` to find the measure of `angleX``angleX` `=` `90°-41°` `=` `49°` Next, notice that `angleY` and the given bearing of `B` from `C` complementary angles.
Since complementary angles are equal to `90°`, we can simply subtract the bearing of `B` from `C` to find the measure of `angleY``angleY` `=` `90°-50°` `=` `40°` Finally, to find the measure of `angleZ`, subtract the sum of `angleX` and `angleY` from `180°`, which is the sum of the interior angles of a triangle.`angleZ` `=` `180°-(49°+40°)` `=` `180°-89°` `=` `91°` `angleX=49°``angleY=40°``angleZ=91°` -