Aright 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.

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

we know that

In the right triangle of the problem

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees (4 in) by the hypotenuse

Let

x > the hypotenuse

so

sin(80°)=4/x

isolate the variable x

x=4/sin(80°)

x=4.1 in

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: