Question

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

Answer 1

Answer:

Given that

sinθ = 0.8660

⇒ sinθ = 0.8660 = √3/2

⇒ θ = sin⁻¹(√3/2)

⇒ θ = 60°

Answer 2

Answer:

Step-by-step explanation:

Given

Sin\theta =0.8660

And hypotenuse =0.25

And we know

$sin\theta =\frac{Perpendicular}{Hypotenuse}$

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 $sin(60)=\frac{\sqrt{3}}{2}=0.8660$

thus $\theta =60^{\circ}$