Question

Find x 58 degrees and adjacent 4.0

Answer 1

It would help if you indicated which side x would be so I will show you how to solve for the two remaining sides. I am assuming that your triangle is a right triangle because you mentioned the word "adjacent."

You can solve it using the trigonometric functions SOH CAH TOA.

Let's solve for the hypotenuse which is the longest side or side opposite the right angle.

IF X WAS THE HYPOTENUSE (H):
You have adjacent and the angle so you need to use the trigonometric function CAH because you're looking for the hypotenuse.
Angle = 58 degrees
A = 4 units

`Cos(angle) = (A)/(H)`

`Cos58 = (4.0 units)/(H)`

`H = (4.0units)/(Cos58)`

`H=7.55units`

IF X WAS THE OPPOSITE (O):
Now we solve for the opposite side using TOA and using the same given as the problem above.


`Tan(angle)= (O)/(A)`

`Tan58= (O)/(4.0units)`

`(Tan58)(4.0units) = O`

`(Tan58)(4.0units) = O`

`6.40units = O`

Attached is a picture of each scenario.