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,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

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

$\cos 46^\circ=\dfrac{x}{8}$

$0.6947=\dfrac{x}{8}$

$0.6947\times 8=x$

$5.5576=x$

Approximate the value to the nearest hundredth.

$x\approx 5.56$

Therefore, the value of x is 5.56 units.