Trigonometric ratios - Quant/Math - CAT 2016
Question 4 the day:
July 02, 2002
The question for the day is a quant problem from the topic of Trigonometric ratios.
Question:
- The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?
-
(1) 30
(2) 51.96
(3) 47.32
(4) 81.96
Correct choice (3). Correct Answer - 47.32
Solution:
Let OT be te tower.
Therefore, Height of tower = OT = 30 m
Let A and B be the two points on the level ground on the opposite side of tower OT.
Then,
angle of elevation from A =  TAO = 45o
and angle of elevation from B = TBO = 60o
Distance between AB = AO + OB = x + y (say)
Now, in right triangle ATO,
tan 45o = 
=> x =  = 30 m
and in right traingle BTO
tan 60o = 
=> y =  = 17.32 m
Hence, the required distance = x + y = 30 + 17.32 = 47.32 m
XLRI XAT TANCET Practice Question Samples
Sorted by Subject
Algebra,
Arithmetic & Geometric Progressions,
Averages and Mean,
Clocks and Calendars,
Data Sufficiency,
English Grammar,
Function,
Geometry,
Coordinate Geometry,
Mensuration,
Trigonometry,
Interest,
Inequality,
Mixtures & Alligations,
Number System and Theory,
Percentages,
Profit & Loss,
Permutation & Combination,
Probability,
Ratio, Proportion,
Set Language and Theory,
Speed, Time & Distance,
Races,
Pipes & Cisterns And Work & Time,
Miscellaneous,
General Knowledge.
|
|
Quick Links
| GMAT Math Books |
|
Comprehensive study material for GMAT Quant. 1800+ questions. 
|
|
| GMAT Math eBook Series |
|
GMAT Math eBooks series on high scoring topics such as permutation combination, number theory, geometry.
US$ 6.99.
|
|
|
LATEST NEWS 
