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Two poles of height 18 metres and 7 metres are erected on the

Question

Two poles of height 18 metres and 7 metres are erected on the ground. A wire of length $22$ metres tied to the top of the poles. Find the angle made by the wire with the horizontal.(in degree)

30

10

20

15

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Noah Discussed

Two poles of height 18 metres and 7 metres are erected on the ground. A wire of length

22

metres tied to the top of the poles. Find the angle made by the wire with the horizontal.(in degree)

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Angle of elevation from smaller pole to bigger =

x

Height of smaller building

= 7

m
Height of bigger pole

= 18

m
Length of the rope

= 22

m
Difference between the two buildings

= 11

Now,

sin x = \frac{o pp os i t e s i d e}{h y p o t an eo u s}

sin x = \frac{11}{22} = \frac{1}{2}

sin x = sin 30

x = 3 0^{\circ}

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Question Text	Two poles of height 18 metres and 7 metres are erected on the ground. A wire of length $22$ metres tied to the top of the poles. Find the angle made by the wire with the horizontal.(in degree)
Answer Type	Text solution:1
Upvotes	150