Question

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

Answer 1

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

`\cos \theta =(Base)/(Hypotenuse)`

In the given figure,

`\cos C =(CD)/(CE)`

`\cos 67^\circ =(x)/(85)`

`0.39073* 85=x`

`33.21205=x`

Round to the nearest tenth.

`x\approx 33.2`

Therefore, the measure of x is 33.2 units.

Answer 2

Answer:
`33.2`

Explanation:

Given

CE=85

`\angle C=67^(\circ)`

In
`\triangle CDE`, using trigonometry

`\Rightarrow \cos 67^(\circ)=(CD)/(CE)\\\\\Rightarrow CD=CE\cos 67^(\circ)\\\\\Rightarrow CD=85* \cos 67^(\circ)\\\\\Rightarrow CD=33.2`