Question

BC
Round your answer to the nearest hundredth.
А
50°
?
3
B

Answer 1

Use the sine function.

sine = opposite side of triangle divided by the hypotenuse.

Here is the set up:

sin(50°) = BC/3

sin(50°)/3 = BC

Use your calculator to simply left side.

Take it from here.

Answer 2

Rounding to the nearest hundredth, the length of BC is approximately 3.92.

The triangle in the image is a right triangle, with a 50° angle at A and a side length of 3 next to A. We are asked to find the length of the hypotenuse, which is side BC.

We can use the sine function (sin) to solve for BC. The sine of an angle in a right triangle is equal to the opposite side divided by the hypotenuse. In this case, the opposite side is 3 and the hypotenuse is BC.

So, we can write the equation:

sin(50°) = 3 / BC

Solving for BC, we get:

BC = 3 / sin(50°)

sin(50°) is approximately 0.766.

Therefore, BC is approximately 3 / 0.766, which is equal to 3.917.