Question 95770
a kite string is 300 feet long from the kite to the ground. the string makes a 50 degree angle with the ground. about how high off the ground is the kite?
f) 215 ft h) 245 ft
g) 230 ft j) 260 ft
<pre><font size = 4><b>
{{{drawing(200,187.5,0,300,0,300,
locate(20,25,"50°"), locate(70,150,"300'"),
line(0,0,192.8362829,229.8133329),rectangle(192.8362829,229.8133329,202.44,241.29), 
line(0,0,300,0))}}} 



Now draw a perpendicular from the kite to the ground to
represent the height h of the kite:

{{{drawing(200,187.5,0,300,0,300,
locate(20,25,"50°"), locate(70,150,"300'"),locate(205,121,h),
line(0,0,192.8362829,229.8133329),rectangle(192.8362829,229.8133329,202.44,241.29), line(202.44,241.29,202.44,0),  
line(0,0,300,0))}}} 

        {{{h/300}}} = {{{(OPPOSITE)/HYPOTENUSE}}} 

        {{{h/300}}} = sin(50°)

Multiply both sides by 300

                  h = 300·sin(50°) 

                  h = 229.8133329 feet 

So the choice closest to that is 230 feet, choice (g)

Edwin</pre>