Q. In the given figure, if ∆EDC ~ ∆EBA, ∠BEC = 115° and ∠EDC = 70°, find ∠DEC, ∠DCE, ∠EAB, ∠AEB and ∠EBA.

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  • Ans. ∠DEC = 65°, ∠DCE = 45°, ∠EAB = 45°, ∠AEB = 65° and ∠EBA = 70°.

Q. D and E are points on the sides AB and AC respectively of ∆ABC such that DE || BC and divides ∆ABC into two parts, equal in area. Find BD/AB.

Ans. (√2-1)/√2

Q. A guy wire attached to a vertical pole of height 18 m is 24 m long hand has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Ans. 6√7 m.

Q. An aeroplane leaves an airport and flies due north at speed of 1000 km/hr. At the same time, another plane leaves due west at a speed of 1200 km/hr. How far apart will the two planes be after 1 hour and 30 minute?

  • Ans. 2343 km (approximately)