Question

Determine which of the two acute angles has a sine of 0.96.

Answer 1

The acute angle which has a sine of 0.96 is A.

The sine of a given angle can be determined by;

Sin θ =
`(opposite)/(hypotenuse)`

As such, to determine the angle which has a sine of 0.96;

Sin A =
`(opposite)/(hypotenuse)`

=
`(24)/(25)`

= 0.96

Sin A = 0.96

Sin C =
`(opposite)/(hypotenuse)`

=
`(7)/(25)`

= 0.28

Sin C = 0.28

Therefore the required angle is A.