Question

If you're good at trigonometry please help meeee

On a 30-60 set square, the side opposite the 60 degree angle is 80mm long. Find the length of the longest side to the nearest millimetre

Answer 1

Answer:

$\boxed{92 \: \mathrm{mm}}$

Step-by-step explanation:

sin θ = $\frac{opposite}{hypotenuse}$

sin (60) = $\frac{80}{x}$

x = $\frac{80}{\mathrm{sin} (60)}$

x = 92.37604307...

x ≈ 92

Answer 2

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92