Using tables, find the acute angle θ, when:

(i) tan θ = 1.476

(ii) tan θ = 2.91

(iii) tan θ = 0.3

(i) Given,

tan θ = 1.476

tan 55° 54' = 1.4770

Difference = .0010

Mean difference of 1' = .0009(to be subtracted)

θ = 55° 54' - 1' = 55° 53'.

Hence, θ = 55° 53'.

(ii) Given,

tan θ = 2.91

tan 71° = 2.9042

Difference = .0058

Mean difference of 2' = .0058(to be added)

θ = 71° + 2' = 71° 2'.

Hence, θ = 71° 2'.

(iii) Given,

tan θ = 0.3

tan 16° 42' = 0.3

Difference = 0.000

Mean difference of 0' = .000

θ = 16° 42'.

Hence, θ = 16° 42'.