7. Mr. Naik is a paramilitary Intelligence Corps officer who is tasked with planning a coup on
the enemy at a certain date. Currently he is inspecting the area standing on top of the cliff.
Agent Vinod is on a hot air balloon in the sky. When Mr. Naik looks down below the cliff
towards the sea, he has Ajay and Maran in boats positioned to get a good vantage point.
Vinod
aº
Naik
16
dº
cliff
fº7
Maran
Ajay
The main goal is to scope out the range and angles at which they should train their soldiers.
On the basis of the above information, answer any four of the following questions:
(A) Which one is a pair of 'angles of elevation?
(a) (20. Ze)
(b) (Zb°, Ze)
(c) (20, 2d)
(d) (Za°, 2f9)
1
Answers
a)20.ze is the answer to this question
The distance is 24 m from the observer.
Given:
Angle given of cliff = 30°
Diagram given
To find: Distance from the observer
Solution:
The angle of elevation is a established idea had connection with altitude and distance, particularly in arithmetic. It is outlined as an angle betwixt the level plane and slanting line from the spectator’s eye to few object above welcome eye.
Eventually, this angle is made above the surface. As the name itself implies, the angle of advancement is so made that it is above the spectator’s eye.
For example, an spectator is look at a fowl situated at the rooftop, therefore skilled is an angle made, that is apt towards the fowl from the spectator’s eye. This advancement angle is secondhand in judgment distances, the climax of constructions or towers, etc by way of concerning manipulation of numbers percentages, to a degree sine, cosine and tangent.
A) A pair of ‘angle of elevation’ is ∠b°, ∠e and one pair of angle of depression is ∠c° and ∠d°
(B) Then, sin 30°
= Vertical height Distance between Naik and Vinod
and V
⇒ Distance = 24 m
Hence the distance has been calculated as 24 m.
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