Respuesta :

Answer:

x = 45.6°

Step-by-step explanation:

As we can see, this is a right triangle, so there are known relationships

well to start we have to know the relationship between angles, legs and the hypotenuse

α = x°

a: adjacent

o: opposite = 5

h: hypotenuse  = 7

sin α = o/h

cos α = a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

is the sine

sin α = o/h

sin x = 5/7

x = sin^-1 (5/7)

x = 45.58°

if we want to round to the nearest tenth

x = 45.58° = 45.6°