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Q.

A gas balloon is tied with a 215 m long rope with an inclination of 45∘ with the horizontal. How high is the balloon?


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a

166 m

b

178 m

c

152 m

d

184 m  

answer is C.

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Detailed Solution

It is given that a gas balloon is tied with a 215 m long rope with an inclination of 45∘ with the horizontal.
Let h be the height of the balloon.
Question ImageNow, in △ACB,
sin 45°=ABAC ⇒ sin 45° =h215
⇒ 12=h215 ⇒ h=2152 ⇒ h=21522 ⇒ h=152 m Hence, the correct option is 3.
 
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