Question

Rohan wants to measure the distance
of a pond during the visit to his native.
He marks points A and B on the
opposite edges of a pond as shown in
the figure below. To find the distance
between the points, he makes a right-
angled triangle using rope connecting B
with another point care a distance of
12m, connecting C to point D at a
distance of 40m from point C and the
connecting D to the point A which is are
a distance of 30m from D such the
ZADC=900.
12m​

Answer 1

Answer:

38

Step-by-step explanation:

use Pythagoras theorem to find length AC

when AC is found through Pythagoras theorem then subtract that length from 12 cm and the final answer will come

Answer 2

Distance between point A and B is 38 meter.

Distance of pond is 38 meter.

Given:

Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the attached figure. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C are a distance of 12m, connecting C to point D at a distance of 40m from point C and the

connecting D to the point A which is are a distance of 30m from D such the $\angle ADC=90°$.

To find: Distance between point A and B.

Solution:

Pythagoras theorem: According to Pythagoras theorem, in a right triangle

Hypotenuse² = Base²+ Perpendicular²

Step 1:

Write hypotenuse,base and perpendicular from the given Figure.

As,

$\angle ADC=90°$

So,

Hypotenuse (AC)=(AB+12)m

Let

Base (DC) = 40 m

Perpendicular (AD)= 30 m

Step 2:

Apply in Pythagoras theorem and find the value of AC

$AC^2=DC^2+AD^2$

$AC^2=(40)^2+(30)^2$

$AC^2=1600+900$

$AC^2=2500$

$\bf AC=50\: m$

Step 3:

Find value of AB.

As,

AC=AB+BC

BC= 12 m

So,

AB=50-12

AB= 38 meter.

Thus,

Distance between point A and B is 38 meter.

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