Question

Given the triangle below, find the angle θ in radians. Round to four decimal places

Answer 1

Θ ≈ 41.8103°

Explanation:

using the sine ratio in the right triangle

sinΘ =
`(opposite)/(hypotenuse)` =
`(4)/(6)` , then

Θ =
`sin^(-1)` (
`(4)/(6)` ) ≈ 41.8103° ( to 4 decimal places )