Question

Solve for x. Round your answer to 2 decimal places.

Answer 1

x = 29.91

Explanation:

Cos (53) = 18/x

x = 18 / Cos(53)

x = 18/ 0.6018

x = 29.91

Answer 2

For this case we have that by definition of trigonometric relations of a rectangular triangle, that the cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle. Then, according to the figure we have:

`cos (53) = \frac {18} {x}`

Clearing x:

`x = \frac {18} {cos (53)}\\x = \frac {18} {0.60181502}\\x = 29,9095226969`

Rounding:

`x = 29.91`

Answer:

29.91