Question

Given: sin θ = 0.8660 hypotenuse = 0.25 Find: θ = (please explain).

Answer 1

Explanation:

Given

Sin\theta =0.8660

And hypotenuse =0.25

And we know

`sin\theta =(Perpendicular)/(Hypotenuse)`

by simple observation

we know sin(30)=0.5

it means that
`\theta` is greater than 45

sin(45)=0.7071

i.e.
`\theta`is greater than 45

for
`sin(60)=(√(3))/(2)=0.8660`

thus
`\theta =60^(\circ)`

Answer 2

Given that

sinθ = 0.8660

⇒ sinθ = 0.8660 = √3/2

⇒ θ = sin⁻¹(√3/2)

⇒ θ = 60°