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Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.
(i) What is the distance between the parks through town?
(ii) What is the distance from Park A to Park B through point R?
(i) What is the distance between the parks through town?
(ii) What is the distance from Park A to Park B through point R?
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Mason Construction wants to connect two parks on opposite sides of tow...
(i) Since, CD || AB [Given]
∴ In ΔRCD and ΔRBA, we have
∠BAR = ∠RDC [Alternate interior angles]
∠ABR = ∠RCD
∴ ΔRCD ~ ΔRBA [By AA similarity]
... (i)
i.e., Distance between the parks through town is 8.75 m.
(ii) In right ΔCRD, we have
(CD)2 = (CR)2 + (RD)2
⇒ RD2 = (1.4)2 – (1.2)2 = 0.52 ⇒ RD = 0.72 m
Since ΔRCD ~ ΔRBA
i.e., Distance from Park A to Park B through point R = AR + RB
= 4.5 m + 7.5 m = 12 m
∴ In ΔRCD and ΔRBA, we have
∠BAR = ∠RDC [Alternate interior angles]
∠ABR = ∠RCD
∴ ΔRCD ~ ΔRBA [By AA similarity]
... (i)i.e., Distance between the parks through town is 8.75 m.
(ii) In right ΔCRD, we have
(CD)2 = (CR)2 + (RD)2
⇒ RD2 = (1.4)2 – (1.2)2 = 0.52 ⇒ RD = 0.72 m
Since ΔRCD ~ ΔRBA
i.e., Distance from Park A to Park B through point R = AR + RB
= 4.5 m + 7.5 m = 12 m
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Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
Question Description
Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. 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 Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. 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 Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. 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 Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. 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 Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
Solutions for Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.(i) What is the distance between the parks through town?(ii) What is the distance from Park A to Park B through point R?a)b)c)d)Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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