Question

PLEASE PLEASE HELP ASAP ASAP!!

Answer 1

1) y =
`(15)(0.446)` = 6.69 ft

2)x =
`sin^(-1)(0.552) = 33.5 degrees`

3)x =
`tan^(-1)(0.25) = 14.04 degrees`

4)x = 12 units

Explanation:

The above problems can be solved by trigonometry.

1) sin(26.5) = 0.446 =
`(opposite)/(hypotenous) = (y)/(15)`

y =
`(15)(0.446)` = 6.69 ft

2)sin(x) =
`(opposite)/(hypotenous) = (32)/(58)`

sin(x) = 0.552

x =
`sin^(-1)(0.552) = 33.5 degrees`

3) tan(x) =
`(opposite)/(adjacent) = (5)/(20) = (1)/(4) = 0.25`

x =
`tan^(-1)(0.25) = 14.04 degrees`

4) sin(45) =
`(1)/(√(2) )` =
`(opposite)/(hypotenous) = (6√(2))/(x)`

x = 12 units