a balloon is connected to a metrological station by a cable of length 200 m is inclient at 60 degree to the horizontal determine the height of the balloon from the ground assuming that there is no slack in the string take root 3 is equal to 1.73
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sin 60=h/200
h=√3×200/2
h=√3×200/2
raj983:
how will it be... please tell me briefly....I want to know the method...
take a right Angle triangle hypotenuse is 200 m which is length of wire. height of ballon is lenght of perpendicular and base is distance of wire froom foot of perpendi cular height. now we know that perpendicular/hypotenuse= sin theta. H is given find P which is height of ballon
thanx
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➡️Here AB represents height of the balloon from the ground. In the right triangle ABC the side which is opposite to angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse (AC) and the remaining side is called as adjacent side (BC).
➡️Now we need to find the length of the side AB.
➡️From the figure given above, AB stands for the height of the balloon above the ground.
↠sin θ = Opposite side/Hypotenuse side
↠sin θ = AB/AC
↠sin 60° = AB/200
↠√3/2 = AB/200
↠AB = (√3/2) x 200
↠AB = 100√3
➡️Approximate value of √3 is 1.732
↠AB = 100 (1.732)
↠AB = 173.2 m
➡️So, the height of the balloon from the ground is 173.2 m.
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