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UPSC CDS Math Trigonometric Ratios and Trigonometric Identities Questions
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© examsnet.com
Question : 8
Total: 107
There are two parallel streets each directed North to South. A person in the first street travelling from South to North wishes to take the second street which is on h is rig h t side. At some place, he makes a 150° turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60° and travels for 20 minutes at the speed of 30 km /hr in order to meet the second street. What is the distance between the two streets ?
[2019 CDS-I]
7.5 km
10.5 km
12.5 km
15 km
Validate
Solution:
A
C
=
15
60
×
20
=
5
km
C
D
=
20
60
×
30
=
10
km
B
C
5
=
cos
60
°
⇒
B
C
=
5
×
1
2
=
2.5
km
Distance between streets
=
B
D
=
2.5
+
10
=
12.5
km
© examsnet.com
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