Question

I need help! I don't know how to get the answer or what it is. Can anyone help me it's for a test and I'm on my last attempt?

Answer 1

See explanation

Explanation:

(4)

Using the sine ratio in the right triangle

sinΘ =
`(opposite)/(hypotenuse)` =
`(7)/(9)`, thus

Θ =
`sin^(-1)`(
`(7)/(9)`) ≈ 51.1°

(5)

Using the tangent ratio in the right triangle

tanΘ =
`(opposite)/(adjacent)` =
`(4)/(5)`, thus

Θ =
`tan^(-1)`(
`(4)/(5)`) ≈ 38.7°