An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour.

This question is inspired from  Ex 6.5, 11 - Chapter 6 Class 10 - Triangles

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Question 1

What is the distance travelled by aeroplane towards north after 11/2 hours?

(a) 1000 

(b) 1200

(c) 1500 

(d) 1800

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Question 2

What is the distance travelled by aeroplane towards west after 11/2 hours?

(a) 1000 

(b) 1200

(c) 1500 

(d) 1800

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Question 3

∠ AOB is

(a) 90°    

(b) 45°  

(c) 30°    

(d) 60°

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Question 4

How far apart will the two planes be after 1 1/2 hours?

(a) √22,50,000  

(b) √32,40,000

(c) √54,90,000     

(d) none of these

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Question 5

The given problem is based on which concept?

(a) Triangles

(b) Co-ordinate geometry

(c) Height and Distance

(d) none of these

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Transcript

Question An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. We know that Speed = (𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 )/𝑇𝑖𝑚𝑒 Distance = Speed × Time Thus, OA = 1500 km & OB = 1800 km Question 1 What is the distance travelled by aeroplane towards north after 11/2 hours? (a) 1000 (b) 1200 (c) 1500 (d) 1800 Distance travelled towards north = OA = 1500 km So, the correct answer is (c) Question 2 What is the distance travelled by aeroplane towards west after 11/2 hours? (a) 1000 (b) 1200 (c) 1500 (d) 1800 Distance travelled towards north = OB = 1800 km So, the correct answer is (d) Question 3 ∠ AOB is (a) 90° (b) 45° (c) 30° (d) 60° Since North is always perpendicular to West Hence, ∠AOB = 90° So, the correct answer is (c) Question 4 How far apart will the two planes be after 1 1/2 hours? (a) √22,50,000 (b) √32,40,000 (c) √54,90,000 (d) none of these Distance between two planes after 1 1/2 hours = AB In right angled Δ AOB By Pythagoras Theorem AB2 = OA2 + OB2 AB2 = (1500)2 + (1800)2 AB2 = 22,50,000 + 32,40,000 AB2 = 54,90,000 + 32,40,000 AB = √𝟓𝟒𝟗𝟎𝟎𝟎𝟎 km So, the correct answer is (c) Question 5 The given problem is based on which concept? (a) Triangles (b) Co-ordinate geometry (c) Height and Distance (d) none of these Since this question involves Pythagoras Theorem Which is in Triangles Class 10 So, the correct answer is (a)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.