Question

What is the value of a ? (Round your answer to the nearest degree .)

Answer 1

a = 32.28°

Explanation:

In the given right triangle,

Opposite side = 12

Adjacent side = 19

By applying tangent rule in the given triangle,

tan(a°) =
`\frac{\text{Opposite side}}{\text{Adjacent side}}`

tan(a°) =
`(12)/(19)`

a =
`\text{tan}^(-1)((12)/(19))`

a = 32.28°