Question

Can someone please explain this trigonometry question? uses sin/cos/tan

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Right triangle

hypotenuse = 24

Opposite side = 15

Adjacent side = ?

Process

1.- Calculate the adjacent side using the Pythagorean theorem.

          hypotenuse² = opposite side² + adjacent side²

-Solve for adjacent side

          Adjacent side² = hypotenuse² - opposite side²

-Substitution

           Adjacent side² = 24² - 15²

-Simplification

           Adjacent side² = 576 - 225

           Adjacent side = 351

-Result

           Adjacent side = 18.73°

2.- Find the value of x°

a) Using sin x

              sinx = Opposite side/Hypotenuse = 15/24 = 0.625

                  x = 38.68°

b) Using cos x

              cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78

              cos x = 38.68°

c) Using tan x

              tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80

             tan x = 38.68°