### Total Questions : 92

**Page 1 of 5 pages**

**A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?**

__Question 1.__h3 - 50h2 + (200)2h + (200)250 = 0 h3 - 50h2 - (200)2h + (200)250 = 0 h3 + 50h2 + (200)2h - (200)250 = 0 None of these

**Answer: Option C**

**A poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30° respectively. What is the height of the poster?**

__Question 3.__$$\frac{{50}}{{\sqrt 3 }}\left( {\sqrt 3 - 1} \right)$$ $$50\sqrt 3 \,{\text{m}}$$ $$50\sqrt 3 \,{\text{m}}$$ None of these

**Answer: Option A**

**Angles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when measured from base of pole is less than n. What is the height of the pole?**

__Question 4.__$$\sqrt {mn\sqrt 3 } \,{\text{units}}$$ $$\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$ $$\sqrt {3mn} \,{\text{units}}$$ $$\sqrt {mn} \,{\text{units}}$$

**Answer: Option A**

**A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?**

__Question 5.__$$10\sqrt 3 \,{\text{m}}$$ $$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$ $$\frac{{\left( {\sqrt 2 - 1} \right)}}{{10}}\,{\text{m}}$$ $$\frac{{10}}{{\sqrt 2 }}\,{\text{m}}$$

**Answer: Option A**

**Tree top’s angle of elevation is 30° from a point on ground, 300m away the tree. When the tree grew up its angle of elevation became 60° from the same point. How much did the tree grow?**

__Question 6.__$$100\sqrt 3 \,{\text{m}}$$ $${\text{200}}\sqrt 3 \,{\text{m}}$$ $$300\frac{1}{{\sqrt 3 }}\,{\text{m}}$$ $$\frac{{200}}{{\sqrt 3 }}\,{\text{m}}$$

**Answer: Option B**

**Mohan looks at a tree top and the angle made is 45°. He moves 10 cm back and again looks at the tree top but this time angle made is 30°. How high is the tree top from ground?**

__Question 7.__$$\frac{{10}}{{\sqrt 3 + 1}}\,{\text{cm}}$$ $$20\sqrt 3 \,{\text{cm}}$$ $$20\,{\text{cm}}$$ $$\frac{{10}}{{\sqrt 3 - 1}}\,{\text{cm}}$$

**Answer: Option D**

**Rohit while seeing a bird on tree top made 45° angle of elevation. He walks 240ft. towards the tree to observe the bird closely, thus making 60° angle of elevation. How far was Rohit from the tree initially?**

__Question 8.__$$\frac{{240\sqrt 3 }}{{\sqrt 3 - 1}}\,{\text{ft}}$$ $$\frac{{240}}{{\sqrt 3 - 1}}\,{\text{ft}}$$ $$\frac{{240}}{{\sqrt 3 }}\,{\text{ft}}$$ $$240\sqrt 3 \,{\text{ft}}$$

**Answer: Option A**

**There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?**

__Question 12.__21 m 25 m 16 m 12 m

**Answer: Option A**

**A and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is height of the tree?**

__Question 14.__$$50\sqrt 3 \,{\text{m}}$$ $$\frac{{25}}{{\sqrt 3 }}\,{\text{m}}$$ $$25\sqrt 3 \,{\text{m}}$$ $$\frac{{25}}{{\sqrt 3 - 1}}\,{\text{m}}$$

**Answer: Option C**

**Raj stands in a corner of his square farm. Angle of elevation of a scarecrow placed in diagonally opposite corner is 60°. He starts walking backwards in a straight line and after 80ft he realizes that angle of elevation of the scarecrow now is 30°. What is area of the field?**

__Question 16.__1600 sq.ft. 40 sq.ft. $$\frac{{40}}{{\sqrt 2 }}$$ sq.ft. 800 sq.ft.

**Answer: Option D**

**Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:**

__Question 18.__173 m 200 m 273 m 300 m None of these

**Answer: Option C**

**A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?**

__Question 20.__4 √3 units 8 units 12 units Data inadequate None of these

**Answer: Option D**

## Related Topics

AlgebraAlligationAreaAverageBankers DiscountBoats And StreamsCalendarChain RuleClockCompound InterestDecimal FractionHeight And DistanceInterestLogarithmNumber SystemOdd Man Out And SeriesPartnershipPercentagePermutation And CombinationPipes And CisternProbabilityProblems On AgesProblems On H C F And L C MProblems On NumbersProblems On TrainsProfit And LossProgressionsRaces And GamesRatioSimplificationSpeed Time And DistanceSquare Root And Cube RootStocks And SharesSurds And IndicesTime And WorkTrianglesTrigonometryTrue DiscountVolume And Surface Area

## Topics

10th Grade11th And 12th11th Grade - Commerce12th Grade - Commerce4th Grade5th Grade6th Grade7th Grade8th Grade9th GradeAccountingAptitudeBanking AwarenessBusiness ManagementC ProgramCatChemical EngineeringCivil EngineeringCommunication SkillsComputer FundamentalComputer FundamentalsComputer ScienceCssDatabaseEconomicsElectrical EngineeringEnglishEnglish Verbal AbilityGeneral AptitudeGeneral KnowledgeGstHrmHtmlIasJava ProgramJavascriptMarketingMechanical EngineeringMs ExcelMs WordNetworkingOperating SystemPhp ProgramPower PointQuantitative AptitudeReasoningSqlTally

## Recent Questions

**Q.**How Many Squares With Side $$\frac{1}{2}$$ Inch Long Are Nee....

**Q.**Single Flemish Bond Consists Of....

**Q.**A Beats B By 150 M In A Race Of 1000 M. B Beats C By 100 M I....

**Q.**the Average Of Six Numbers Is X And The Average Of Three O....

**Q.**$$\frac{10.3 × 10.3 × 10.3 + 1}{10.3 × 10.3 - 10.3 + 1}$$....

**Q.**Head Developed By A Centrifugal Pump Is....

**Q.**A Locking Device In Which The Bottom Cylindrical Portion Is ....

**Q.**The Energy Of Molecular Motion Appears As....

**Q.**This Curve Gives You The Number Of Species Residing In A Par....

**Q.**Which Of The Following Fuels Can Be Used In Turbojet Engines....

**Q.**we Have ________ Exam Tomorrow.....

**Q.**The Tyrant . . . . . . . . Anyone Whom He Regarded As A Riva....

**Q.**What Is The ‘Overall Score’ Of The Congressman....

**Q.**there Were 45 Students In A Hostel, If The Numbers Of Stud....

**Q.**When Contaminated Substances Leak Into The Ground And Are Ca....

**Q.**Half Life Of A Radioactive Isotope Corresponds To The Time R....

**Q.**Cores Are Used To....

**Q.**State Whether The Given Statement Is True Or False: The Pro....

**Q.**the Mean Temperature Of Monday To Wednesday Was 37° C And....

**Q.**a Dvd Is An Example Of A(n) .................... .....