Question

9. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale

Answer 1

For this case we have the following trigonometric relationship:
tan (theta) = C.O / C.A
Where,
theta: angle
C.O: opposite leg
C.A: adjoining catheto
Substituting values:
tan (25) = x / 5
Clearing x:
x = 5 * tan (25)
x = 2.33
Answer:
x = 2.3