Question

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

(i) 0.2419 

(ii) 0.4741

(iii) 0.7391

Answer 1

(i) From the tables, it is clear that tan 13° 36’ = 0.2419

Hence, θ = 13° 36’

(ii) From the tables, it is clear that tan 25° 18’ = 0.4727

tan θ − tan 25° 18’ = 0.4741 − 0.4727 = 0.0014

From the tables, diff of 4’ = 0.0014

Hence, θ = 25° 18’ + 4’ = 25° 22’

(iii) From the tables, it is clear that tan 36° 24’ = 0.7373

tan θ − tan 36° 24’ = 0.7391 − 0.7373 = 0.0018

From the tables, diff of 4’ = 0.0018

Hence, θ = 36° 24’ + 4’ = 36° 28’