Question

a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length og the hypotenuse if the triangle? round to the nearest tenth.

Answer 1

4.06 in.

Explanation:

4

sin(80)= ---------- multiply by X

x

x* sin(80)= 4 divide by sin(80)

4

X=------------- simplify

sin(80)

X= 4.06 in.

Answer 2

The length of the hypotenuse is 4.1 in

Explanation:

By definition, the sine of an angle is:

`sin(x) = (opposite\ side)/(hypotenuse)`

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.

With this information we can find the length of the hypotenuse h

`sin(80\°) =(4)/(h)\\\\h = (4)/(sin(80\°))\\\\h = 4.062\ in`

Finally the length of the hypotenuse is 4.1 in