Question

Referring to the figure, find the value of a. Then find the value of B.

Answer 1

Medal and fan

Answer 2

In a 30-60-90 triangle, the side opposite the 30 degree angle is always half of the hypotenuse.

Answer 3

Is there a formula that I can use?

Answer 4

\[\large SL=\frac{1}{2}H\] \[\large SL=Small~Leg\]\[\large H=Hypotenuse\]

Answer 5

So the hypotenuse is 5. Right?

Answer 6

Right

Answer 7

so a=2.5?

Answer 8

Correct

Answer 9

\[\large LL=SL\sqrt{3}\]\[\large SL=Short~Leg\]\[\large LL=Long~Leg\]

Answer 10

\[2.5\sqrt{3}\]

Answer 11

yep. That'd be it

Answer 12

it would be 4.33..... Is that B?

Answer 13

Yes, that's b

Answer 14

Thanks

Answer 15

\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]