Answer:
The answer to your question is below
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°