Question :-
Application of trigonometry
Area:-
maths exampler of class 10, application of trigonometry.
Q.09
An electrician has to repair an electric fault on a pole of height 4m. she needs to reach a point of 1.3 m below the top of the pole to undertake the repair work.what should be the height of the ladder that she should use at angle of 60° to the horizontal, would enable her reached the required position? Also, how far the foot of the pole should be she place the foot of the ladder. (take√3=1.732)
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Answers
Step-by-step explanation:
Let AC be the electricpole of height 4 m. Let B be a point 1.3 m below the top A of the pole AC.
Then, BC = AC - AB = (4 - 1.3)m = 2.7 m
Let BD be the inclined at an angle of 60
∘
to the horizontal.
In ΔBCD, we have
sin60
∘
=
BD
BC
⇒
2
3
=
BD
2.7
[∵BC=2.7m]
⇒BD=
3
2×2.7
m=
3
5.4
m=
3
5.4×
3
m
⇒BD=(1.8)
3
m=
5
9
3
m
Hence, the length of the ladder should be
5
9
3
m.
Answer:
Applications of Trigonometry
Trigonometry can be defined as calculations with triangles involved with the study of lengths, heights, and angles. Trigonometry and its functions have an enormous number of uses in our daily life. For instance, it is used in geography to measure the distance between landmarks, in astronomy to measure the distance of nearby stars and also in the satellite navigation system.
Before going into the detailed explanation of trigonometry applications, let’s start with the introduction of trigonometry and its functions