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A hot air balloon is attached to the ground by a cable that is 200 meters long and the cable makes a 57 degree angle. How many meters above the ground is the balloon if there is no slack in the cable?

Respuesta :

Answer:

The balloon is 167.6 meter above the ground if there is no slack in the cable

Step-by-step explanation:

The image for the question is attached. please refer

As we know

sinθ= Perpendicular/ Hypotenuse

Here Perpendicular [tex]= 200[/tex]

Substituting the given values in above equation, we get -

[tex]Sin\Theta = \frac{H}{200}\\H = Sin (57) * 200\\H = 0.838 * 200 \\H = 167.6[/tex]meter

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