A superhero flies 183 m from the top of a tall building at an angle of 20 degrees below the horizontal. What's the. . .continued below. . .   vertical & horizontal component of the superhero's...

A superhero flies 183 m from the top of a tall building at an angle of 20 degrees below the horizontal. What's the. . .continued below. . .

 

vertical & horizontal component of the superhero's displacement? Answer in units of m.

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ndnordic | High School Teacher | (Level 2) Associate Educator

Posted on

To solve problems of this type, first construct a right triange.  Starting from the origin, draw a vector at an angle of 20 degrees south of east. Then go directly north from the end of the vector to form the vertical component, and then go directly west back to the origin to find the horizontal component.

To find y, recognize that sin 20 = y/183

solve for y = 62.59 m

To find x, recognize that cos 20 = x/183

solve for x = 171.96 m.

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