Question

draw a right triangle that has a leg with length 8 and the angle opposite that side is 40 degree. find the length of the hypotenuse.

Answer 1

length of the hypotenuse = 12.45.

Step-by-step explanation

A right triangle consists of the hypotenuse (longest side), the opposite(length of the leg) and the adjacent.

The angle at the corner is 90degrees

Given the following

Length of the leg = 8

angle opposite the side = 40 degrees

To get the hypotenuse, we will use the SOH CAH TOA trigonometry identity;

sin theta = opposite/hypotenuse

sin 40 = 8/hypotenuse

hypotenuse = 8/sin40

hypotenuse = 8/0.6428

hypotenuse = 12.45

Hence the length of the hypotenuse is 12.45.

See the diagram attached