Y=arcsin(sin(π/4))
The exact value of <span><span>sin <span>(<span>π/4</span>) </span></span>sin </span><span>is </span><span><span><span>√2</span>/</span><span>2
</span></span>y=<span>arcsin<span>(<span><span>√2/</span>2</span><span>)
</span></span></span>The exact value of <span><span>arcsin<span>(<span><span>√2/ </span>2</span>) y</span></span></span>=π/4y=π/4
Interchange the variables.<span>x=<span><span>π/4
</span></span></span>
10cm because 8 is nearest to 10
TSP makes a right triangle with TS and TP being the sides and SP being the hypotenuse.
Using the Pythagorean theorem and the two given sides you can solve for the hypotenuse.
SP = √6^2 + 8^2
SP = √36+64
SP = √100
SP = 10 cm.
You can just use sine.
Sin(F) = opposite/hypotenuse = 28/40.
F =

(28/40)
Plug into your calculator.
44.4