Using tables, find the acute angle θ, when:

sin θ = 0.36

sin θ = 0.4274

sin θ = 0.5955

sin θ = 0.8229

(i) Given,

sin θ = 0.36

sin 21° 6' = .3600 (From tables)

Difference = .0000

Mean difference for 0' = .0000

Hence, θ = 21° 6'.

(ii) Given,

sin θ = 0.4274

sin 25° 18' = 0.4274 (From tables)

Difference = .0000

Mean difference for 0' = .0000

Hence, θ = 25° 18'.

(iii) Given,

sin θ = 0.5955

sin 36° 30' = 0.5948 (From tables)

Difference = .0007

Mean difference for 3' = .0007

θ = 36° 30'+ 3' = 36° 33'

Hence, θ = 36° 33'.

(iv) Given,

sin θ = 0.8229

sin 55° 18' = 0.8221 (From tables)

Difference = .0008

Mean difference for 5' = .0008

θ = 55° 18'+ 5' = 55° 23'

Hence, θ = 55° 23'.