Class 10 Exam > Class 10 Questions > If the shadow of a boy ‘x’ metres...
Start Learning for Free
If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is 45°, then the value of ‘x’ is
- a)2m
- b)0.8m
- c)3.6m
- d)1.6m
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the shadow of a boy ‘x’ metres high is 1.6m and the ang...
Free Test
FREE
| Start Free Test |
Community Answer
If the shadow of a boy ‘x’ metres high is 1.6m and the ang...
Is 5 feet long and the height of the tree he is standing next to is 20 feet, then we can use the following proportion to find the height of the boy:
Height of boy / Length of shadow of boy = Height of tree / Length of shadow of tree
Let x be the height of the boy. Then:
x / 5 = 20 / Length of shadow of tree
We need to find the length of the shadow of the tree. Since we know the length of the shadow of the boy is 5 feet, we can use similar triangles to find the length of the shadow of the tree.
The triangles formed by the boy, the tree, and their shadows are similar. That means the ratio of the height of the boy to the length of his shadow is the same as the ratio of the height of the tree to the length of its shadow:
Height of boy / Length of shadow of boy = Height of tree / Length of shadow of tree
x / 5 = 20 / Length of shadow of tree
Cross-multiplying, we get:
x * Length of shadow of tree = 100
Length of shadow of tree = 100 / x
Substituting this into the original proportion, we get:
x / 5 = 20 / (100 / x)
Simplifying, we get:
x^2 = 1000
Taking the square root of both sides, we get:
x = 31.62
So the height of the boy is approximately 31.62 feet.
Height of boy / Length of shadow of boy = Height of tree / Length of shadow of tree
Let x be the height of the boy. Then:
x / 5 = 20 / Length of shadow of tree
We need to find the length of the shadow of the tree. Since we know the length of the shadow of the boy is 5 feet, we can use similar triangles to find the length of the shadow of the tree.
The triangles formed by the boy, the tree, and their shadows are similar. That means the ratio of the height of the boy to the length of his shadow is the same as the ratio of the height of the tree to the length of its shadow:
Height of boy / Length of shadow of boy = Height of tree / Length of shadow of tree
x / 5 = 20 / Length of shadow of tree
Cross-multiplying, we get:
x * Length of shadow of tree = 100
Length of shadow of tree = 100 / x
Substituting this into the original proportion, we get:
x / 5 = 20 / (100 / x)
Simplifying, we get:
x^2 = 1000
Taking the square root of both sides, we get:
x = 31.62
So the height of the boy is approximately 31.62 feet.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer?
Question Description
If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer?.
If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is45°, then the value of ‘x’ isa)2mb)0.8mc)3.6md)1.6mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup