Question

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

Answer 1

x = 30 units .

Explanation:

Given : A right triangle with angle 53° and hypotenuse x and adjacent side 18.

To find : Solve for x .

Solution : We have given that a triangle

Angle = 53°

Hypotenuse = x.

Adjacent side = 18.

By the trigonometric cosine ratio

cos ( theta) =
`(adjacent\ side)/(hypotenuse)`.

cos (53) =
`(18)/(hypotenuse)`.

0.6 =
`(18)/(hypotenuse)`.

On multiplying both sides by hypotenuse and dividing by 0.6

Hypotenuse =
`(18)/(0.6)`.

Hypotenuse = 30 units.

Therefore, x = 30 units .