Question

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answer 1

x = 42

y = 21

Explanation:

Since its a right triangle, we have:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

`sin (60) = (21√(3) )/(x) \\\\x= (21√(3) )/(sin (60)) \\\\x= (21√(3) )/((√(3) )/(2) ) \\\\x = (21√(3) *2 )/(√(3) ) \\\\x = 21*2\\\\x = 42`

`cos (60) = (y)/(x)\\\\cos (60) = (y)/(42)\\\\y = cos (60)*42 \\\\y = (1)/(2) * 42\\\\y = 21`