Hi... I've been strugling with these three problems for a few weeks:

(1) Degrees are not the only units we use to measure angles. We also use radians. Just as there are \(360^\circ\) in a circle, there are \(2\pi\) radians in a circle. Compute \(\sin \frac{\pi}{6},\) where the angle\(\frac{\pi}{6}\) is in radians.

(2)Find the length AC, to two decimal places.

Image:

https://artofproblemsolving.com/texer/sywndnao

(3)Find the length BC, to two decimal places.

Image:

https://artofproblemsolving.com/texer/enqsdotw

Guest Nov 15, 2020

#1**0 **

Quick note: to get the images for (2) and (3), post these codes to get the figures. Make sure you say Render as Image in the TeXeR

(2)

[asy]

unitsize(2 cm);

pair A, B, C;

A = dir(40);

B = (0,0);

C = (3,0);

draw(A--B--C--cycle);

label("$A$", A, N);

label("$B$", B, SW);

label("$C$", C, SE);

label("$3$", (A + B)/2, NW);

label("$7$", (B + C)/2, S);

label("$50^\circ$", B + (0.5,0.15));

[/asy]

(3)

[asy]

unitsize(1 cm);

pair A, B, C;

A = 4*dir(71);

B = (0,0);

C = (5,0);

draw(A--B--C--cycle);

label("$A$", A, N);

label("$B$", B, SW);

label("$C$", C, SE);

label("$8$", (A + C)/2, NE);

label("$61^\circ$", A + (0.2,-0.8));

label("$43^\circ$", C + (-0.8,0.3));

[/asy]

Guest Nov 15, 2020