Question

HELP TRIGONOMETRY!!!!!

Answer 1

12.8cm

Explanation:

as the side we know is the opposite side (12cm), and the side we want to find out is the hypotenuse (x), we use the trigonometry ratio SIN to work this out.

sin = opp/hyp

replace the sides with their numbers

sin = 12/x

as the number we now number on the top of the fraction, we divide it by sin70°

12 ÷ sin70 = 12.77...

round to the nearest tenth

12.8cm

hope this was helpful :-)

Answer 2

12.8 cm

Explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between angles and sides of a right triangle. Here, you have the side opposite the given 70° angle, and you want to find the hypotenuse. The appropriate relation is ...

Sin = Opposite/Hypotenuse

Solving for the hypotenuse, we get ...

Hypotenuse = Opposite/Sin

x = (12 cm)/sin(70°) ≈ 12.77 cm

x ≈ 12.8 cm