Question

Find the angle theta to the nearest minute for sin theta=0.1655.
a. 9 degrees 32'
b. 9 degrees 38'
c. 9 degrees 39'
d. 9 degrees 31'

Answer 1

\[\sin(\theta) = 0.1655 \implies \theta = \sin^{-1}(0.1655)\]

Answer 2

ans= (d) 9 degrees 31'

Answer 3

\[\large \theta = 9.5262\]

Clearly 9 degrees we have but we have to find minute also..

1 hour = 60 minutes:

\[\large 5262 \times 60 = 315720\]

So:

9 degrees and 31 minutes..

Answer 4

Thanks!

Answer 5

Welcome dear..