Use tables to find the acute angle θ, if the value of tan θ is :

(i) 0.2419

(ii) 0.4741

(i) Let tan θ = 0.2419

From table,

tan 13° 36' = 0.2419

θ = 13° 36'.

Hence, θ = 13° 36'.

(ii) Let tan θ = 0.4741

From table,

tan 25° 18' = 0.4727

tan θ - tan 25° 18' = 0.4741 - 0.4727 = 0.0014

From table,

Difference of 4' = 0.0014

∴ θ = 25° 18' + 4' = 25° 22'.

Hence, θ = 25° 22'.