Find value of x. Round answer to nearest tenth please.

x = 45.5°

Step-by-step explanation:

α = x

a: adjacent  

o: opposite  = 6

h: hypotenuse  = 7

sin α = o/h

cos α= a/h

tan α = o/a

if we see the sine it has the data that we have

sin α = o/h

sin x = 5/7

x = sin ^-1 (5/7)

x = 45.58  

if we round to the nearest tenth

x = 45.5°

Step-by-step explanation:

Considering the given triangle, to determine angle x, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, it becomes

5/Sin x = 7/Sin 90

Cross multiplying, it becomes

7Sinx = 5Sin90

7Sinx = 5 × 1 = 5

Sinx = 5/7 = 0.714

x° = Sin^-1(0.714)

x° = 45.56°