Answer

Verified

452.1k+ views

Hint - In this type of problem, they usually make right angled triangles and we can use the Pythagoras theorem to solve.

Given that

AB = 20m

AE = 17m

CE = 28m

$\because $ CE = AB + DE

$\therefore $ DE = 8m

With the given data, diagram can be drawn like this

Now we apply the Pythagoras theorem in the ADE triangle.

Then

${\text{A}}{{\text{E}}^2} = {\text{A}}{{\text{D}}^2} + {\text{D}}{{\text{E}}^2}$

${17^2} = {{\text{x}}^2} + {8^2}$

${{\text{x}}^2} = 289 - 64$

${{\text{x}}^2} = 225$

${\text{x = }} \pm {\text{15}}$

$\because $ distance never be negative then

X = 15m

Therefore, the horizontal distance between the two trees is 15m.

Note - In this problem, first let assume the variable for unknown and then apply the Pythagoras theorem and get the value of unknown which is the horizontal distance between the two trees.

Given that

AB = 20m

AE = 17m

CE = 28m

$\because $ CE = AB + DE

$\therefore $ DE = 8m

With the given data, diagram can be drawn like this

Now we apply the Pythagoras theorem in the ADE triangle.

Then

${\text{A}}{{\text{E}}^2} = {\text{A}}{{\text{D}}^2} + {\text{D}}{{\text{E}}^2}$

${17^2} = {{\text{x}}^2} + {8^2}$

${{\text{x}}^2} = 289 - 64$

${{\text{x}}^2} = 225$

${\text{x = }} \pm {\text{15}}$

$\because $ distance never be negative then

X = 15m

Therefore, the horizontal distance between the two trees is 15m.

Note - In this problem, first let assume the variable for unknown and then apply the Pythagoras theorem and get the value of unknown which is the horizontal distance between the two trees.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE