Joe is flying a kite. The kite string makes an angle of 57 degrees with the ground. If Joe is standing 100 feet from the point on the ground directly below the kite, find the length of the kite string?

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Answer 1 · 2017-01-15T12:29:25

Length of the kite string =183.6ft

Let opposite side be ” t”

Let adjacent side be “a”

Let hypotenuse side be “s”

Then:

#Sin theta = t/s# sin(ts)

#cos theta= a/s# cos(as)

#tan theta=t/a # tan(ta)

#cosec theta=s/t# cosec(st)

#sec theta=s/a# sec(sa)

#cot theta=a/t# cot(at)

#sec57°=s/a#

#s/a= sec57°#

Multiply both sides by a

#s=sec57° xx a#

#s=1.836078459 xx 100#

#=183.608ft#

Check:

#a/s=cos57°#

Multiply both sides by s

#a=cos57° xx s#

#a=cos57 xx 183.608°#

#a=100ft#