Question

4. Given the right triangle below, solve for e (theta) and a (alpha).

Answer 1

Θ ≈ 67.4° , α ≈ 22.6°

Explanation:

using the sine ratio in the right triangle

sinΘ =
`(opposite)/(hypotenus)` =
`(12)/(13)` , then

Θ =
`sin^(-1)` (
`(12)/(13)` ) ≈ 67.4° ( to 1 dec. place )

and

sinα =
`(opposite)/(hypotenuse)` =
`(5)/(13)` , then

α =
`sin^(-1)` (
`(5)/(13)` ) ≈ 22.6° ( to 1 dec. place )