If the side opposite angle A of a right triangle is 30 meters and the hypotunuse is 90 meters what is the value of the sin of angle round to the nearest hundredth?

Answer 1

Sine = Opposite / Hypotenuse

= 30 / 90

= 1/3

~= 0.33

To remember the ratios, I was taught 2 mnemonics:

Each letter of SOHCAHTOA represents a ratio:

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Prior to secondary school where I was taught that, I was taught this rhyme, which I much prefer:

Two Old Arabs

Soft Of Heart

Coshed Andy Hatchett

Again, each initial letter shows the ratios.

Tan = Opposite / Adjacent

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse