Question

Find the value of x. Round to the
nearest tenth.
12
x= [?]

Answer 1

Answer: x = 9.8

Explanation:

We can use the trigonometric functions to solve. We are given the adjacent side and the hypotenuse of our given angle. This means we will use cosine.

Given:

cosθ =
`(adjacent)/(hypotenuse)`

Substiute given values:

cos(35°) =
`(x)/(12)`

Multiply both sides of the equation by 12:

12cos(35°) = x

Compute:

9.8298 = x

Reflexive property:

x = 9.8298

Round to the nearest tenth:

x = 9.8