Question

Please help finding the missing values and please show all your work on how you got the answers.

Answer 1

a) Given triangle is a right angle triangle

So we use trigonometric properties

`sin (\alpha ) = (opposite)/(hypotenuse)`

`sin (51) = (y)/(12)`

y = sin(51) * 12

y= 9.3257515

y= 9.33

b) It is a right angle triangle

sin(theta) = opposite / hypotenuse

sin ( theta) =
`(12)/(13)`

theta =
`sin^(-1)((12)/(13) )`

theta = 67.38 degree

c)
`sin (\alpha ) = (opposite)/(hypotenuse)`

`sin (20) = (10)/(x)`

`x = (10)/(sin(20))`

x= 29.238044

Hypotenuse x= 29.24