The line 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 andang;PQR?a)15ob)30oc)60od)75oe)90oCorrect answer is option 'D'. Can you explain this answer?

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GMAT Exam > GMAT Questions > The line intersects the y-axis at the point ...

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?

a)
15^o
b)
30^o
c)
60^o
d)
75^o
e)
90^o

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)

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

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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)

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

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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)

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

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Directions: Read the Passage carefully and answer the question as follow.Marketing executives in television work with a relatively stable advertising medium. In many ways, the television ads aired today are similar to those aired two decades ago. Most television ads still feature actors, still run 30 or 60 seconds, and still show a product. However, the differing dynamics of the Internet pose unique challenges to advertisers, forcing them to adapt their practices and techniques on a regular basis.In the early days of Internet marketing, online advertisers employed banner and pop-up ads to attract customers. These techniques reached large audiences, generated many sales leads, and came at a low cost. However, a small number of Internet users began to consider these advertising techniques intrusive and annoying. Yet because marketing strategies relying heavily on banners and pop-ups produced results, companies invested growing amounts of money into purchasing these ad types in hopes of capturing market share in the burgeoning online economy. As consumers became more sophisticated, frustration with these online advertising techniques grew. Independent programmers began to develop tools that blocked banner and pop-up ads. The popularity of these tools exploded when the search engine Google, at the time an increasingly popular website fighting to solidify its place on the Internet with giants Microsoft and Yahoo, offered free software enabling users to block pop-up ads. The backlash against banner ads grew as new web browsers provided users the ability to block image-based ads such as banner ads. Although banner and pop-up ads still exist, they are far less prominent than during the early days of the Internet.A major development in online marketing came with the introduction of pay-per-click ads. Unlike banner or pop-up ads, which originally required companies to pay every time a website visitor saw an ad, pay-per-click ads allowed companies to pay only when an interested potential customer clicked on an ad. More importantly, however, these ads circumvented the pop-up and banner blockers. As a result of these advantages and the incredible growth in the use of search engines, which provide excellent venues for pay-per-click advertising, companies began turning to pay-per-click marketing in droves. However, as with the banner and pop-up ads that preceded them, pay-per-click ads came with their drawbacks. When companies began pouring billions of dollars into this emerging medium, online advertising specialists started to notice the presence of what would later be called click fraud: representatives of a company with no interest in the product advertised by a competitor click on the competitors ads simply to increase the marketing cost of the competitor. Click fraud grew so rapidly that marketers sought to diversify their online positions away from pay-per-click marketing through new mediums.Although pay-per-click advertising remains a common and effective advertising tool, marketers adapted yet again to the changing dynamics of the Internet by adopting new techniques such as pay-per-performance advertising, search engine optimization, and affiliate marketing. As the pace of the Internets evolution increases, it seems all the more likely that advertising successfully on the Internet will require a strategy that shuns constancy and embraces change.Q.According to the passage, the largest point at which the television and Internet differ as an advertising medium is

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The line 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)15ob)30oc)60od)75oe)90oCorrect answer is option 'D'. Can you explain this answer?

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