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Q.

The distance between the tops of two trees 20m and 28m high is 17m. The horizontal distance between the two tree is:


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a

11m

b

31m

c

15m

d

  9m 

answer is C.

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Detailed Solution

Concept: To find the distance of the given question by using the Pythagoras theorem. We make a right angled triangle and use the Pythagoras theorem.
Given
AB=20m
AE=17m
CE=28m
Therefore,
CE=AB+DE
28=20+DE
DE=8
With given information, figure be like,
Now, we will apply Pythagoras theorem in the triangle portion that is ADE.Question ImageThen,
Let AD be x.
AE2=AD2+DE2
172=x2+82
x2=  289-64
x2=225
x=±15
As we know that distance can never be negative.
So, AD= 15m.
Hence, the correct answer is 3.
 
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