Question

Solve for x. Round to the nearest tenth, if necessary.

X
60⁰
9
X
V
W

Answer 1

Using a trigonometric relation we can see that x = 4.5

How to find the value of x?

Here we can see a right triangle, where we know the lenght of the hypotenuse, an angle, and we want to find the value of the adjacent cathetus of that angle.

Remember the relation:

cos(angle) = (adjacent cathetus)/hypotenuse

Then we can replace the things that we know:

cos(60°) = x/9

Solving for x:

x = 9*cos(60°)

x = 4.5