If 

h=10
meters and
m∠C = 39°
 , then what is the length of side
a
? Round your answer to the nearest whole number.

1 answer

To find the length of side a, we can use the sine function. The sine of angle C is equal to the length of the side opposite angle C (side a) divided by the length of the hypotenuse (side h).

sin(C) = a/h

Substituting the given values:

sin(39°) = a/10

To find the length of side a, we can rearrange this equation:

a = sin(39°) * 10

Using a calculator, we find:

a ≈ 6.23

Rounding to the nearest whole number, the length of side a is 6.