Question

Trigonometry please help! work need to be shown

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

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

Using the above trigonometric ratio for the given triangle, we get

`\cos 46^\circ=(x)/(8)`

`0.6947=(x)/(8)`

`0.6947* 8=x`

`5.5576=x`

Approximate the value to the nearest hundredth.

`x\approx 5.56`

Therefore, the value of x is 5.56 units.