Question

What is the value of y? Enter your answer, as an exact value, in the box.

Answer 1

Answer:

y=4√3 units

Step-by-step explanation:

Hi there!

We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y

We need to find the value of y (BC)

The side AB is the hypotenuse of the  (the side opposite from the right angle).

BC is a leg, which is a side that makes up the right angle.

Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to $\frac{a\sqrt{3}}{2}$, where a is the length of the hypotenuse

Since we have the hypotenuse given as 8, the length of BC (y) is $\frac{8\sqrt{3}}{2}$, or 4√3

so y=4√3 units

Hope this helps!