Question

49. Ravi is standing 180 meters due north of point P. Latha is standing 240 meters due west

of point P. What is the shortest distance between Ravi and Latha?

Answer 1

Answer:300

From point P, the shortest distance between Ravi and Latha is the hypotenuse of the triangle.

√((180^2)+(240^2)) = √(32400+57600)

= √90000

= 300

Answer 2

Concept:

Pythagoras theorem states that the sum of the square of perpendicular and base of right angle triangle is equal to the square of the hypotenuse.

Given:

Ravi standing North of point P = 180 meters,

And,

Latha standing West of point P = 240 meters,

Find:

We are asked to find the shortest distance between Ravi and Latha.

Solution:

We have,

Ravi standing North of point P = 180 meters,

And,

Latha standing West of point P = 240 meters,

So,

The shortest distance will be the hypotenuse as they will form a right-angle triangle,

So,

Using Pythagoras theorem,

i.e.

H² = P² + B²

i,e,

H² = 240² + 180²

So,

H² = 57600 + 32400

We get,

H² = 90000

So,

H = 300 meters,

i.e.

The shortest distance is 300 meters.

Hence, the shortest distance between Ravi and Latha is 300 meters.

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