Searching for "observer"

Q:

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

A) 4.25 B) 3.75
C) 4.5 D) 3.45
 
Answer & Explanation Answer: B) 3.75

Explanation:
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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is

A) 33 km/hr B) 42 km/hr
C) 45 km/hr D) 50 km/hr
 
Answer & Explanation Answer: C) 45 km/hr

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Filed Under: Height and Distance
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Q:

A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

A) 25.98 B) 26.58
C) 27.58 D) 27.98
 
Answer & Explanation Answer: C) 27.58

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

An observer 1.6 m tall is 203away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A) 21.6 m B) 23.2 m
C) 24.72 m D) None of these
 
Answer & Explanation Answer: A) 21.6 m

Explanation:

 

 

 

 Draw BE // CD

 

Then, CE = AB = 1.6 m,

 

BE = AC =

 DEtan30=> DE = tan30 x 203=> DE = 13x203 = 20

 

Therefore, CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Filed Under: Height and Distance
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