Radius of a wheel that is in contact with a brick [closed]
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A brick $4$cm thick is placed so as to block a carriage wheel. If the distance of the brick from the point of contact of the wheel and thre ground is $10$cm, find the radius of the wheel.
circle
edited Nov 19 at 17:01
mrtaurho
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asked Nov 19 at 16:55
Julian Aung
1
closed as off-topic by Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos Nov 19 at 18:45
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
-3
down vote
favorite
A brick $4$cm thick is placed so as to block a carriage wheel. If the distance of the brick from the point of contact of the wheel and thre ground is $10$cm, find the radius of the wheel.
circle
edited Nov 19 at 17:01
mrtaurho
2,7691927
asked Nov 19 at 16:55
Julian Aung
1
closed as off-topic by Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos Nov 19 at 18:45
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
-3
down vote
favorite
up vote
-3
down vote
favorite
A brick $4$cm thick is placed so as to block a carriage wheel. If the distance of the brick from the point of contact of the wheel and thre ground is $10$cm, find the radius of the wheel.
circle
edited Nov 19 at 17:01
mrtaurho
2,7691927
asked Nov 19 at 16:55
Julian Aung
1
A brick $4$cm thick is placed so as to block a carriage wheel. If the distance of the brick from the point of contact of the wheel and thre ground is $10$cm, find the radius of the wheel.
circle
circle
edited Nov 19 at 17:01
mrtaurho
2,7691927
asked Nov 19 at 16:55
Julian Aung
1
edited Nov 19 at 17:01
mrtaurho
2,7691927
asked Nov 19 at 16:55
Julian Aung
1
edited Nov 19 at 17:01
mrtaurho
2,7691927
edited Nov 19 at 17:01
mrtaurho
2,7691927
edited Nov 19 at 17:01
mrtaurho
2,7691927
2,7691927
asked Nov 19 at 16:55
Julian Aung
1
asked Nov 19 at 16:55
Julian Aung
1
asked Nov 19 at 16:55
Julian Aung
1
1
closed as off-topic by Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos Nov 19 at 18:45
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos Nov 19 at 18:45
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Rushabh Mehta, John Douma, amWhy, user21820, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
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add a comment |
2 Answers
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Sketch the wheel, the ground and the brick. Draw a right angled triangle with vertices at (a) the centre of the wheel; (b) the point where the wheel contacts the brick, and (c) the point 4 cm above the point where the wheel meets the ground. Point (c) is at the same horizontal level as the point where the wheel contacts the brick, because the brick is 4cm thick.
If the radius of the wheel is $r$, what are the lengths of the sides of this triangle ? Use Pythagoras's theorem to find an equation involving $r$. Now solve this equation to find the value of $r$.
answered Nov 19 at 17:05
gandalf61
7,530623
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14.5
If we draw a right triangle with the radius going from the brick to the center of the wheel being the hypotenuse, one side going from the brick parallel to the ground until it meets with the vertical radius, then we get a triangle with hypotenuse R, one side 10 and the other side R-4. $R^2=(R-4)^2+10^2$ solving for R gives 116/8 which is 14.5.
answered Nov 19 at 17:26
Mathaddict
1464
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
Sketch the wheel, the ground and the brick. Draw a right angled triangle with vertices at (a) the centre of the wheel; (b) the point where the wheel contacts the brick, and (c) the point 4 cm above the point where the wheel meets the ground. Point (c) is at the same horizontal level as the point where the wheel contacts the brick, because the brick is 4cm thick.
If the radius of the wheel is $r$, what are the lengths of the sides of this triangle ? Use Pythagoras's theorem to find an equation involving $r$. Now solve this equation to find the value of $r$.
answered Nov 19 at 17:05
gandalf61
7,530623
add a comment |
up vote
1
down vote
Sketch the wheel, the ground and the brick. Draw a right angled triangle with vertices at (a) the centre of the wheel; (b) the point where the wheel contacts the brick, and (c) the point 4 cm above the point where the wheel meets the ground. Point (c) is at the same horizontal level as the point where the wheel contacts the brick, because the brick is 4cm thick.
If the radius of the wheel is $r$, what are the lengths of the sides of this triangle ? Use Pythagoras's theorem to find an equation involving $r$. Now solve this equation to find the value of $r$.
answered Nov 19 at 17:05
gandalf61
7,530623
add a comment |
up vote
1
down vote
up vote
1
down vote
Sketch the wheel, the ground and the brick. Draw a right angled triangle with vertices at (a) the centre of the wheel; (b) the point where the wheel contacts the brick, and (c) the point 4 cm above the point where the wheel meets the ground. Point (c) is at the same horizontal level as the point where the wheel contacts the brick, because the brick is 4cm thick.
If the radius of the wheel is $r$, what are the lengths of the sides of this triangle ? Use Pythagoras's theorem to find an equation involving $r$. Now solve this equation to find the value of $r$.
answered Nov 19 at 17:05
gandalf61
7,530623
Sketch the wheel, the ground and the brick. Draw a right angled triangle with vertices at (a) the centre of the wheel; (b) the point where the wheel contacts the brick, and (c) the point 4 cm above the point where the wheel meets the ground. Point (c) is at the same horizontal level as the point where the wheel contacts the brick, because the brick is 4cm thick.
If the radius of the wheel is $r$, what are the lengths of the sides of this triangle ? Use Pythagoras's theorem to find an equation involving $r$. Now solve this equation to find the value of $r$.
answered Nov 19 at 17:05
gandalf61
7,530623
answered Nov 19 at 17:05
gandalf61
7,530623
answered Nov 19 at 17:05
gandalf61
7,530623
answered Nov 19 at 17:05
gandalf61
7,530623
7,530623
add a comment |
add a comment |
up vote
0
down vote
14.5
If we draw a right triangle with the radius going from the brick to the center of the wheel being the hypotenuse, one side going from the brick parallel to the ground until it meets with the vertical radius, then we get a triangle with hypotenuse R, one side 10 and the other side R-4. $R^2=(R-4)^2+10^2$ solving for R gives 116/8 which is 14.5.
answered Nov 19 at 17:26
Mathaddict
1464
add a comment |
up vote
0
down vote
14.5
If we draw a right triangle with the radius going from the brick to the center of the wheel being the hypotenuse, one side going from the brick parallel to the ground until it meets with the vertical radius, then we get a triangle with hypotenuse R, one side 10 and the other side R-4. $R^2=(R-4)^2+10^2$ solving for R gives 116/8 which is 14.5.
answered Nov 19 at 17:26
Mathaddict
1464
add a comment |
up vote
0
down vote
up vote
0
down vote
14.5
If we draw a right triangle with the radius going from the brick to the center of the wheel being the hypotenuse, one side going from the brick parallel to the ground until it meets with the vertical radius, then we get a triangle with hypotenuse R, one side 10 and the other side R-4. $R^2=(R-4)^2+10^2$ solving for R gives 116/8 which is 14.5.
answered Nov 19 at 17:26
Mathaddict
1464
14.5
If we draw a right triangle with the radius going from the brick to the center of the wheel being the hypotenuse, one side going from the brick parallel to the ground until it meets with the vertical radius, then we get a triangle with hypotenuse R, one side 10 and the other side R-4. $R^2=(R-4)^2+10^2$ solving for R gives 116/8 which is 14.5.
answered Nov 19 at 17:26
Mathaddict
1464
answered Nov 19 at 17:26
Mathaddict
1464
answered Nov 19 at 17:26
Mathaddict
1464
answered Nov 19 at 17:26
Mathaddict
1464
1464
add a comment |
add a comment |
