Question

Use graph to answer questions

Answer 1

Answer:

$\sin( \alpha ) = \frac{4}{5}$

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

• base = 3 units
• perpendicular = 4 units

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

$hyp = \sqrt{25}$

hyp = 5 units

$\sin( \theta ) = \frac{perpendicular}{hypotenuse} \\ \sin( \theta) = \frac{4}{5}$