What is the height of P from AB in the figure

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What is the height of P from AB in the figure

by swerve » Sat Oct 27, 2018 8:59 am

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What is the height of P from AB in the figure above?

A. 20
B. 25
C. 30
D. 35
E. 50

The OA is E

Source: EMPOWERgmat

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by deloitte247 » Sun Oct 28, 2018 8:20 am
The height is 50m, since all the lines are perpendicular
drawing a straight line PB from P perpendicular to AB will be 20+30=50
$$answer=option\ E$$

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by fskilnik@GMATH » Sun Oct 28, 2018 12:31 pm
swerve wrote:Image

What is the height of P from AB in the figure above?

A. 20
B. 25
C. 30
D. 35
E. 50
Source: EMPOWERgmat
\[? = {\text{dist}}\left( {P,\overleftrightarrow {AB}} \right)\]
Important: the distance between a given straight line r and a given point P that does not belong to r is
equal to the length of the line segment PQ, where Q is the intersection of r and the perpendicular
to this line that passes through P (see figure, in this case Q=B).


Image

$$? = 30 + 20 = 50$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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