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The line 
intersects the y-axis at the point P and the line 
intersects the y-axis at the
point R. If these two lines intersect at point Q, what is the measure of ∠PQR?
intersects the y-axis at the point P and the line intersects the y-axis at thepoint R. If these two lines intersect at point Q, what is the measure of ∠PQR?
- a)15o
- b)30o
- c)60o
- d)75o
- e)90o
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The line intersects the y-axis at the point P and the line intersec...
Given
- The line intersects the y-axis at the point P
- The line intersects the y-axis at the point R
- The lines and 0
- intersect at point Q,
To Find: ∠PQR = ?
Approach
- In order to answer this question, we first need to be able to draw ΔPQR in the coordinate plane.
- Once we’ve drawn ΔPQR, we’ll be able to use trigonometric ratios to find the required angle
- In order to draw ΔPQR in the coordinate plane, we need to know the coordinates of points P, Q and R.
Working out
- Finding the coordinates of R
- R is the point of intersection of line
with x = 0 (this is the equation of
the y-axis)
- Therefore, the coordinates of point R are (0, -1)
- R is the point of intersection of line
- Finding the coordinates of Q
- Thus, the coordinates of point Q are (
Drawing ΔPQR in the coordinate plane
- Now that we know the coordinates of P, Q and R, we can draw ΔPQR in the coordinate plane as under:
Finding ∠PQR
∠PQR = ∠PQO + ∠OQR
∠PQR = ∠PQO + ∠OQR
Most Upvoted Answer
The line intersects the y-axis at the point P and the line intersec...
Given
- The line intersects the y-axis at the point P
- The line intersects the y-axis at the point R
- The lines and 0
- intersect at point Q,
To Find: ∠PQR = ?
Approach
- In order to answer this question, we first need to be able to draw ΔPQR in the coordinate plane.
- Once we’ve drawn ΔPQR, we’ll be able to use trigonometric ratios to find the required angle
- In order to draw ΔPQR in the coordinate plane, we need to know the coordinates of points P, Q and R.
Working out
- Finding the coordinates of R
- R is the point of intersection of line with x = 0 (this is the equation of
the y-axis)
- Therefore, the coordinates of point R are (0, -1)
- R is the point of intersection of line
- Finding the coordinates of Q
- Thus, the coordinates of point Q are (
Drawing ΔPQR in the coordinate plane
- Now that we know the coordinates of P, Q and R, we can draw ΔPQR in the coordinate plane as under:
Finding ∠PQR
∠PQR = ∠PQO + ∠OQR
∠PQR = ∠PQO + ∠OQR
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Community Answer
The line intersects the y-axis at the point P and the line intersec...
Given
- The line intersects the y-axis at the point P
- The line intersects the y-axis at the point R
- The lines and 0
- intersect at point Q,
To Find: ∠PQR = ?
Approach
- In order to answer this question, we first need to be able to draw ΔPQR in the coordinate plane.
- Once we’ve drawn ΔPQR, we’ll be able to use trigonometric ratios to find the required angle
- In order to draw ΔPQR in the coordinate plane, we need to know the coordinates of points P, Q and R.
Working out
- Finding the coordinates of R
- R is the point of intersection of line with x = 0 (this is the equation of
the y-axis)
- Therefore, the coordinates of point R are (0, -1)
- R is the point of intersection of line
- Finding the coordinates of Q
- Thus, the coordinates of point Q are (
Drawing ΔPQR in the coordinate plane
- Now that we know the coordinates of P, Q and R, we can draw ΔPQR in the coordinate plane as under:
Finding ∠PQR
∠PQR = ∠PQO + ∠OQR
∠PQR = ∠PQO + ∠OQR
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Question Description
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